Prof. Vijay Kumar Kukreja
Professor and Dean (Students Welfare)
Mathematics
+911672253268
+911672253269
8427757135
vkkukreja@sliet.ac.in, vkkukreja@gmail.com
Ph.D. from University of Roorkee, Roorkee in 1997.
M.Sc. from Meerut University, Meerut, in 1989.
B.Sc. from Meerut University, Meerut, in 1987.
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=9737071700 ORCID: https://orcid.org/0000-0001-9717-9526 VIDWAN ID: https://vidwan.inflibnet.ac.in/profile/116232 WoS Profile: https://www.webofscience.com/wos/author/record/T-6238-2017 Scopus Profile: https://www.scopus.com/authid/detail.uri?authorId=9737071700 ResearchGate Profile: https://www.researchgate.net/profile/V-Kukreja Google Scholar: https://scholar.google.com/citations?user=IlVtsvAAAAAJ&hl=en
Teaching Experience
• Professor (Mathematics), SLIET Longowal, India, since 08/09/2012. • Associate Professor (Mathematics), SLIET Longowal, from 30/07/2009 to 07/09/2012. • Assistant Professor (Mathematics), SLIET Longowal, from 30/07/2006 to 29/07/2009. • Lecturer (Mathematics), SLIET Longowal, India, from 06/04/2000 to 29/07/2006. • Lecturer (Mathematics), BCET, Gurdaspur, India, from 30/07/1997 to 05/04/2000.
Administrative Responsibilities • Dean (Students Welfare), 14/01/2026 – till date. • Associate Dean (Discipline), 06/05/2025 – till date. • HOD, Department of Mathematics, 25/08/2020 – 24/08/2023. • PRO and Convener (Publicity & Media Interaction), 19/01/2024 – till date. • NAAC Assessor since June 2024. • Nodal Office, Anti-Drug Abuse Campaign, 08/08/2018 – till date. • Coordinator (Procurement) TEQIP-III / II Project, 05/10/2015 –31/03/2021. • Member, Senate, SLIET Longowal, Since May 2016 – December 2023. • Advisor, Faculty Club and Community Center, April 2019 – December 2025. • Coordinator (Tutor Guardian and Student Mentor Scheme), November 2017 – May 2019. • Faculty Incharge, Store & Purchase Office, October 2015 – November 2017. • Core Committee Member, TEQIP-II Project from 2012 to 2015. • Core Committee Member, SLIET Entrance Test-2016, 2015, 2010. • Core Committee Member, TECHFEST-2019, 2018, 2016, 2013, 2012, 2010. • Chairman, Faculty Club and Community Center, March 2012 – March 2019. • Lab Incharge, Numerical Methods Lab, April 2000 – October 2016, September 2023 – . • Warden (Boys Hostel), January 2001 – July 2012 and July 2013 – November 2016. • Chairman, Registration & Reception committee TECHFEST 2024,13,11,09,08,06. • Observer, SLIET Entrance Test 2018,17,16,12,11,10,09,06,05,04,03,02,01,00. • Convener, Annual Convocation Committee 2019,18,17,16,15,14,13,12,11,10.
• Guest Editor, Mathematical and Numerical Analysis of Fractional Evolution Equations and Applications (Special Issue of Fractal and Fractional), MDPI, June 2024 – June 2026. • Guest Editor, Numerical Methods for Approximation of Function and Data Mathematics (Special Issue of Mathematics), MDPI, July 2022 – July 2024. • Editor, Springer Proceedings in Mathematics & Statistics, Volume 410, Frontiers in Industrial and Applied Mathematics, ISBN 978-981-19-7271-3, 2023.
• Founder Member, Indian Society of Industrial and Applied Mathematics. • Life Member, Punjab Academy of Sciences. • Life Member, Indian Society of Technical Education (LM-29029).
Professional Recognition • Member Selection Committee: – NIAMT, Ranchi, June 2025. – GKCIET Malda, November 2023, July 2023, October 2021. – Central University of Jammu, November 2023. – Shortlisting Committee, NIAMT, Ranchi, June 2023. – Punjabi University, Patiala, June 2022. – Guru Nanak College, Muktsar Sahib, July 2021. • Member, Board of Study (Mathematics): – Himachal Pradesh University, Shimla, 2024-25. – University School of Sciences, Rayat-Bahra University, Mohali, 2022-24. – SBS State Technical Campus, Ferozepur, 2018-20. – Mata Gujri College, Fatehgarh Sahib, 2011-17, 2020-23. • Session Chair: – National Conference AEMTA, SLIET Longowal, March 2024. – ICEPAM, Akal University, Talwandi Saboo, November 2022. – 3rd International Conference FIAM, NIT Jamshedpur, December 2020. – 23rd Punjab Science Congress, February 2020. – International Conference MES, Chitkara University, Baddi, March 2014. – 14th Punjab Science Congress, February 2011. – ICMETP, BMAS Engineering College, Agra, January 2009. • Member Advisory Committee: – National Conference RTICME, NIAMT, Ranchi, December 2025. – 7th FIAM, CUP Bathinda, November 2024. – National Conference RTM, Guru Nanak College, Muktsar Sahib, March 2024. – International Conference AMDSER, Chitkara University, Baddi, July 2021. – Him Science Congress, Chitkara University, Baddi, October 2019. – International Conference MES, Chitkara University, Baddi, March 2014. • Best Paper Award: – 6th ICAET, BGIET Sangrur, February 2018. – 14th Punjab Science Congress, February 2011. – 1st prize, NWMM, Banasthali University, December 2009. – Sisir Kumar Mitra Memorial Award-96 from IIChE.
• Member Selection Committee:
Member, Board of Study (Mathematics):
Session Chair
Member Advisory Committee
Best Paper Award
Invited Talks Delivered: • MMTTC: – Central University of Haryana, December 2024. – Punjabi University, Patiala, September 2024.
MMTTC:
• AI and ML: – NIT Hamirpur, September 2025. – SLIET Longowal and GLAU Mathura July 2025.
AI and ML:
• Numerical Methods: – Nirma University, Ahmedabad, December 2025. – Akal University, Talwandi Sabo, November 2024. – South Asian University, New Delhi, November 2024. – Guru Nanak College, Muktsar Sahib, March 2024. – Punjabi University, Patiala, December 2023, November 2020, May 2014. – University of Kashmir, Srinagar, September 2022, October 2015. – Central University of Punjab, Bathinda, July 2022, February 2019. – Guru Jambheshwar Uni Sci & Tech, Hisar, January 2021. – Khalsa College, Amritsar, November 2020. – SBS State Technical Campus, Ferozepur, July 2019. – GNDU, Amritsar, November 2019, December 2009. – Guru Nanak College, Budhlada, April 2017. – SLIET, Longowal, October 2016, March 2015, July 2009. – Government College, Muktsar Sahib, November 2015. – Govind National College, Narangwal, February 2012. – University of Delhi, Delhi, December 2010.
• Numerical Methods:
• Introduction to SPSS: – Punjabi University, Patiala, December 2023. – Guru Ghasidas Vishwavidyalaya, Bilaspur, December 2023. – SLIET Longowal, December 2023. – NIT, Uttarakhand, July 2019. – Guru Kashi University, Talwandi Sabo, November 2012.
Introduction to SPSS:
• Introduction to MATLAB and MATHEMATICA: – SLIET, Longowal, September 2024, August 2018, June 2015. – SD College, Barnala, February 2022. – Doaba College, Jalandhar, January 2022. – Punjabi University, Patiala, June 2017, May 2014, December 2012. – University of Kashmir, Srinagar, October 2015. – Mata Gujri College, Fatehgarh Sahib, 2014, 2011.
Introduction to MATLAB and MATHEMATICA:
• Statistics / Theory of Sampling: – Aryabhatta Institutes, Barnala, February 2022. – GNDU, Amritsar, November 2019. – NIT, Uttarakhand, July 2019. – Punjabi University, Patiala, June 2017. – BGIET, Sangrur, May 2012.
Statistics / Theory of Sampling:
• Applications of Mathematics: – SGGS World University, Fatehgarh Sahib, February 2025. – Government Ranbir College, Sangrur, February 2024. – Jaypee Uni of Information Technology, Waknaghat, December 2022. – Guru Nanak College, Muktsar Sahib, March 2022. – Rayat Bahra University, Mohali, April 2018. – ACPTE, Sangrur, December 2013, March 2013, March 2012. – Asian Institute, Patiala, November 2013. – Chitkara University, Rajpura, March 2011.
Applications of Mathematics:
• Mathematical Modelling: – Guru Ghasidas Vishwavidyalaya, Bilaspur, December 2023. – Guru Jambheshwar Uni Sci & Tech, Hisar, January 2021. – NIT Uttarakhand, August 2020. – J.C. Bose University of Science & Technology, Faridabad, August 2020. – Guru Nanak College for Girls, Muktsar, August 2020. – Panjab University, Chandigarh, August 2020.
Mathematical Modelling:
Academic Visits Abroad • Adelaide (Australia) to attend ANZIAM, February 2024. • Singapore, to attend ICANMAM, November 2017. • Rhodes (Greece) to attend ICNAAM, September 2013. • Vancouver (Canada) to attend ICIAM, July 2011. • Bedlewo (Poland) to attend CMAM, June 2010. • Zurich (Switzerland) to attend ICIAM, July 2007. • Madrid (Spain) to attend ICM, August 2006.
Papers Published in International Journals – 75 • A Devi, A Kumari & VK Kukreja, Numerical study of solitary wave equations of fractional order via modified cubic B-spline collocation technique, Wave Motion, 2026 (Accepted). • M Mand, B Singh & VK Kukreja, A Novel Data Normalization Technique based on a Piecewise Continuous, Symmetric Function with tanh-transformation, Soft Computing, 2026 (Accepted). • A Devi, A Kumari & VK Kukreja, An efficient computational technique based on modified cubic B-splines for solving fractional Burgers’ equation, Palestine Journal of Mathematics, 2026 (Accepted). • A Devi, A Kumari & VK Kukreja, Solution of fractional Burgers-Fisher model using improvised cubic splines approximation, De Gruyter Proceedings in Mathematics, 274-292, 2026 (Accepted). • M Mand, B Singh & VK Kukreja, A continuous, bounded and uniformly converging hypertan-normalization approach for improved classification accuracy and feature entropy. International Journal of Data Science and Analytics, 21(1), 70 (2026). https://doi.org/10.1007/s41060-025-00982-x • A Devi, A Kumari, N Parumasur, P Singh & VK Kukreja, Numerical study of fractional order Burgers’-Huxley equation using modified cubic splines approximation. Fractal and Fractional, 2025, 9(12), 780. https://doi.org/10.3390/ fractalfract9120780. • R Kaur & VK Kukreja, An effectual higher order computational method for treatment of generalized Rosenau-KdV equation, Palestine Journal of Mathematics, 14(I), 110–132, 2025. • Shallu & VK Kukreja, Numerical solution and analysis of extended Fisher–Kolmogorov equation using an improved collocation algorithm, International Journal of Computer Mathematics, 102(3), 415-434, 2025. • Shallu & VK Kukreja, Highly accurate spline collocation technique for the numerical solution of generalized Burgers-Fisher’s problem, Computational Methods for Differential Equations, 13 (2), 1-14, 2025. • A Kumari & VK Kukreja, A sixth-order Hermite collocation technique for numerical study of nonlinear Fisher and Burgers-Fisher equations, The ANZIAM Journal, 67, e12, 1-25, 2025. • A Kumari, S Kumar & VK Kukreja, New Hermite collocation approach with shocks wave capturing for solving non-linear coupled Burgers-type model at high Reynolds number, Engineering with Computers, 2024. https://doi.org/10.1007/s00366-024-02063-2. • A Kumari & VK Kukreja, Survey of Hermite interpolating polynomials for the solution of differential equations, Mathematics, 11, 3157, 2023. • A Kumari & VK Kukreja, Study of generalized regularized long wave equation via septic Hermite collocation method with Crank–Nicolson and SSP-RK43 schemes to capture the various solitons, Wave Motion, 122, 103188, 2023. • A Kumari & VK Kukreja, Study of 4th order Kuramoto-Sivashinsky equation by septic Hermite collocation method, Applied Numerical Mathematics, 188, 88-105, 2023. • Shallu & VK Kukreja, Solution of generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank-Nicolson as well as explicit SSP-RK43 scheme, International Journal of Computer Mathematics, 100(1), 1-19, 2023. • A Kumari & VK Kukreja, Shishkin mesh based septic Hermite interpolation algorithm for time‑dependent singularly perturbed convection–diffusion models, Journal of Mathematical Chemistry, 60(10), 2029-2053, 2022. • A Kumari & VK Kukreja, Sixth order Hermite collocation method for analysis of MRLW equation, Journal of Ocean Engineering and Science, 2022. https://doi.org/10.1016/j.joes.2022.06.028. • A Kumari, Shallu & VK Kukreja, Solution of dual boundary layer singular perturbation problem by septic Hermite collocation technique, International Journal of Applied & Computational Mathematics, 8(5), 226(1-17), 2022. • S Arora, R Jain & VK Kukreja, A robust Hermite spline collocation technique to study generalized Burgers-Huxley equation, generalized Burgers-Fisher equation and modified Burgers’ equation, Journal of Ocean Engineering and Science, 2022. https://doi.org/10.1016/j.joes.2022.05.016. • Shallu & VK Kukreja An optimal B-spline collocation technique for numerical simulation of viscous coupled Burgers’ equation, Computational Methods for Differential Equations, 10(4), 1027-1045, 2022. • Shallu & VK Kukreja, An improvised collocation algorithm to solve generalized Burgers’-Huxley equation, Arabian Journal of Mathematics, 11(20), 379-396, 2022. • A Kumari & VK Kukreja, Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin-Huxley equation, International Journal of Computer Mathematics, 99(5) 909-923, 2022. • Shallu & VK Kukreja, Numerical treatment of Benjamin-Bona-Mahony-Burgers equation with fourth-order improvised B-spline collocation method, Journal of Ocean Engineering & Science, 7(2), 99-111, 2022. • A Kumari & VK Kukreja, Error bounds for septic Hermite interpolation and its implementation to study modified Burgers’ equation, Numerical Algorithms, 89(4), 1799-1821, 2022. • Shallu & VK Kukreja, An improvised extrapolated collocation algorithm for solving Kuramoto-Sivashinsky equation, Mathematical Methods in the Applied Sciences, 45(3), 1451-1467, 2022. • R Kaur & VK Kukreja, Computational analysis of some partial differential equations using efficient compact finite difference method, AIP Conference Proceedings, 2435, 020050 (1-14), 2022. • R Kaur, Shallu, VK Kukreja, N Parumasur & P Singh, Two different temporal domain integration schemes combined with compact finite difference method to solve modified Burgers’ equation, Ain Shams Engineering Journal, 13(1), 101507, 2022. • R Kaur, Shallu, S Kumar & VK Kukreja, Numerical approximation of generalized Burger’s-Fisher and generalized Burger’s-Huxley equation by compact finite difference method, Advances in Mathematical Physics, 3346387 (1-17), 2021. • A Kumari & VK Kukreja, Septic Hermite collocation method for the numerical solution of Benjamin Bona Mahony Burgers equation, Journal of Difference Equations & Applications, 27(8), 1193-1217, 2021. • Shallu & VK Kukreja, Analysis of RLW and MRLW equation using improvised collocation technique with SSP-RK43 scheme, Wave Motion, 105, 102761, 2021. • SP Kaur, AK Mittal & VK Kukreja, A computationally efficient algorithm for solution of mathematical models of displacement washing, Advances & Applications in Mathematical Sciences, 20(11), 2549-2557, 2021. • SP Kaur, AK Mittal, VK Kukreja, A Kaundal, N Parumasur & P Singh, Analysis of a linear and non-linear model for diffusion–dispersion phenomena of pulp washing by using quintic Hermite interpolation polynomials, Afrika Matematika, 32(5-6), 997-1019, 2021. • Shallu & VK Kukreja, An efficient collocation algorithm with SSP-RK43 scheme to solve Rosenau-KdV-RLW equation, International Journal of Applied & Computational Mathematics, 7(4), 161(1-18), 2021. • Shallu, A Kumari & VK Kukreja, An improved extrapolated collocation technique for singularly perturbed problems using cubic B-spline functions, The Mediterranean Journal of Mathematics, 18(4), 128(1-29), 2021. • Shallu & VK Kukreja, An optimal quintic B-spline collocation method for fourth-order singular singularly perturbed problems, Mathematics in Engineering Science and Aerospace, 12(2), 443-454, 2021. • Shallu & VK Kukreja, An improvised collocation algorithm with specific end conditions for solving modified Burgers equation, Numerical Methods for Partial Differential Equations, 37(1), 874-896, 2021. • Shallu, A Kumari & VK Kukreja, An efficient super convergent spline collocation algorithm for solving fourth order singularly perturbed problems, International Journal of Applied & Computational Mathematics, 6(5), 134(1-23), 2020. • S Arora, R Jain & VK Kukreja, Solution of Benjamin Bona Mahony Burgers equation using collocation method with quintic Hermite splines, Applied Numerical Mathematics, 154, 1-16, 2020. • J Kumar & VK Kukreja, Analytic solution of a diffusion dispersion model of packed beds of finite thickness, Journal of Interdisciplinary Mathematics, 22(1), 1-16, 2019. • SP Kaur, AK Mittal, VK Kukreja, N Parumasur & P Singh, An efficient technique for solution of linear and nonlinear diffusion-dispersion models, AIP Conference Proceedings, 1975(1), 030031 (1-10), 2018. • S Arora, IP Kaur, H Kumar & VK Kukreja, A robust technique of cubic Hermite collocation for the solution of complex nonlinear model, Journal of King Saud University – Engineering Sciences, 29(2), 159-165, 2017. • IA Ganaie, S Arora & VK Kukreja, Cubic Hermite collocation solution of Kuramoto-Sivashinsky equation, International Journal of Computer Mathematics, 93(1), 223-235, 2016. • AK Mittal & VK Kukreja, Convergence of orthogonal collocation on finite elements with Hermite basis method for two dimensional nonlinear models, International Journal of Mathematical Sciences & Applications, 5(1), January-June, 187-192, 2015. • B Gupta, N Parumasur, P Singh & VK Kukreja, Numerical study of a nonlinear diffusion model for washing of packed bed of cylindrical fiber particles, Arabian Journal of Science & Engineering, 40(5), 1279-1287, 2015. • B Gupta & VK Kukreja, Efficient numerical solution of diffusion convection problem of chemical engineering, Chemical & Process Engineering Research, 31, 70-75, 2015. • IA Ganaie, VK Kukreja, N Parumasur, P Singh & F Potucek, Comparative study of axial dispersion model using cubic Hermite collocation method for linear and nonlinear adsorption isotherms, Cellulose Chemistry & Technology, 48 (7-8), 717-726, 2014. • S Arora, VK Kukreja & F Potucek, Analytic solution of biparameter axial dispersion model, Communications in Applied & Industrial Mathematics, e-458, 2014. (DOI: 10.1685/journal.caim.458) • IA Ganaie & VK Kukreja, Numerical solution of Burgers equation by cubic Hermite collocation method, Applied Mathematics & Computation, 237, 571-581, 2014. • IA Ganaie, S Arora & VK Kukreja, Cubic Hermite collocation method for solving boundary value problems with Dirichlet, Neumann and Robin conditions, International Journal of Engineering Mathematics, 2014, http://dx.doi.org/10.1155 /2014/365209. • IA Ganaie, J Rattan, AK Mittal & VK Kukreja, Simulation of packed bed of porous particles using axial dispersion model, Mathematical Sciences International Research Journal, 3 (1), 134-141, 2014. • IA Ganaie & VK Kukreja, A novel numerical scheme of cubic Hermite spline collocation method for solving Burgers’ equation, AIP Conference Proceedings, 1558, 1196-1199, 2013. • AK Mittal, IA Ganaie, VK Kukreja, N Parumasur & P Singh, Solution of diffusion-dispersion models using a computationally efficient technique of orthogonal collocation on finite elements with cubic Hermite as basis, Computers & Chemical Engineering, 58, 203-210, 2013. • IA Ganaie, B Gupta, N Parumasur, P Singh & VK Kukreja, Asymptotic convergence of cubic Hermite collocation method for axial dispersion model, Applied Mathematics & Computation, 220 (1), 560-567, 2013. • AK Mittal, IA Ganaie, VK Kukreja, N Parumasur & P Singh, Numerical solution of diffusion-dispersion model using orthogonal collocation on finite element with Hermite basis for Robin conditions, Applied Mathematical Sciences, 7(34), 1663-1673, 2013. • IA Ganaie, S Arora & VK Kukreja, Modelling and simulation of a packed bed of pulp fibers using mixed collocation method, International Journal of Differential Equations, doi:10.1155/2013/875298, 2013. • J Kumar, IA Ganaie & VK Kukreja, Application of Mathematica software to solve pulp washing model, ISRN Chemical Engineering, doi:10.1155/2013/765896, 2013. • B Gupta & VK Kukreja, Numerical approach for solving diffusion problems using cubic B-spline collocation method, Applied Mathematics & Computation, 219(4), 2087-2099, 2012. • V Nanda, B Singh, AS Bawa & VK Kukreja, Characterization of honey produced from different fruit plants of northern India, International J of Food Science & Technology, 44, 2629-2636, 2009. • VK Kukreja, AK Mittal, N Parumasur & P Singh, Numerical solution of two-point BVPs by OCFE using a Hermite basis, AIP Conference Proceedings, 1146, 386-389, 2009. • S Arora, F Potucek, SS Dhaliwal & VK Kukreja, Modelling of displacement washing of pulp bed using orthogonal collocation on finite elements, AIP Conference Proceedings, 1146, 169-176, 2009. • VK Kukreja & AK Ray, Mathematical modeling of a rotary vacuum washer used for pulp washing: A case study of a lab scale washer, Cellulose Chemistry and Technology, 43 (1-3), 25-36, 2009. • S Arora, SS Dhaliwal & VK Kukreja, Mathematical modelling of the washing zone of an industrial rotary vacuum washer, Indian J. of Chemical Technology, 15 (July), 332-340, 2008. • S Arora, SS Dhaliwal & VK Kukreja, Modelling of displacement washing of pulp fibers using orthogonal collocation on finite elements, Proc. Applied Mathematics & Mechanics, 7, 2150027-2150028, 2007. • S Arora, SS Dhaliwal & VK Kukreja, Computationally efficient technique for weight functions and effect of orthogonal polynomials on the average, Applied Mathematics & Computation, 186, 623-631, 2007. • S Arora, SS Dhaliwal & VK Kukreja, A computationally efficient technique for solving two-point boundary value problems in porous media, Applied Mathematics & Computation, 183, 1170-1180, 2006. • S Arora, SS Dhaliwal & VK Kukreja, Application of orthogonal collocation on finite elements for solving non linear boundary value problems, Applied Mathematics & Computation, 180, 516-523, 2006. • S Arora, SS Dhaliwal & VK Kukreja, Simulation of washing of packed bed of porous particles by orthogonal collocation on finite elements, Computers & Chemical Engineering, 30 (6-7), 1054-1060, 2006. • S Arora, SS Dhaliwal & VK Kukreja, Modelling of the displacement washing of pulp fiber bed, Indian J. of Chemical Technology, 13 (September), 433-439, 2006. • S Arora, SS Dhaliwal & VK Kukreja, Solution of two-point boundary value problems using orthogonal collocation on finite elements, Applied Mathematics & Computation, 171(1), 358-370, 2005. • Mamta, V Kanwar, VK Kukreja & S Singh, On some third order iterative methods for solving nonlinear equations, Applied Mathematics & Computation, 171(1), 272-280, 2005. • Mamta, V Kanwar, VK Kukreja & S Singh, On a class of quadratically convergent iteration formulae, Applied Mathematics & Computation, 166(3), 633-637, 2005. • AK Ray & VK Kukreja, Solving pulp washing problems through mathematical models, Fundamentals and Numerical Modeling of Unit Operations in the Forest Products Industries, American Institute of Chemical Engineers, NY, 96(324), 42-47, 2000. • VK Kukreja, AK Ray, VP Singh & NJ Rao, Mathematical analysis for evaluation of filtrate flow rates in brown stock washers, Indian Chemical Engineer, 41(3), July-September, T 87-90, 1999. • VK Kukreja, AK Ray & VP Singh, Mathematical models for washing and dewatering zones of a rotary vacuum filter, Indian J. of Chemical Technology, 5 (September), 276-280, 1998. • VK Kukreja, AK Ray, VP Singh & NJ Rao, A mathematical model for pulp washing on different zones of a rotary vacuum filter, Indian Chemical Engineer, 37(3), July-September, 113-124, 1995.
Papers in International Conferences – 32 • Anita Devi & VK Kukreja, A novel computational technique for solving advection diffusion model of fractional order, International Conference on Advances in Mathematics and Applied Sciences, NSCBM Government College, Hamirpur, Himachal Pradesh, March 2025. • Anita Devi, A Kumari & VK Kukreja, A novel computational technique for solving Burgers’ type models of fractional order, International Conference on Differential Equations: Theory, Computation and Applications, South Asian University, Delhi, India, November 2024. • Anita Devi & VK Kukreja, An efficient numerical technique for solving fractional order advection diffusion equation, International Conference on Computations and Data Science, Indian Institute of Technology, Roorkee, Uttrakhand, March 2024. • R Kaur, G. Gurarslan & VK Kukreja, Computational analysis of Benjamin-Bona-Mahony-Burgers equation by an efficient compact finite difference method, International Conference on Mathematics and its Applications, Sacred Heart College, Tirupattur, Tamil Naidu, February 2024. • M Mand, VK Kukreja & B Singh, Influence function and its relevance in robustness estimation: A brief study, International Conference on Statistics, Probability, Data Science and Related Areas, CUST Cochin, Kerala, India, January 2023. • Shallu & VK Kukreja, Coupling of quintic B-spline collocation method with SSP-RK43 scheme to solve generalized Rosenau-KdV equation, 4th International Conference of FIAM, SLIET Longowal, India, December 2021. • S Arora, R Jain & VK Kukreja, Analysis of quintic Hermite collocation method for generalised Benjamin-Bona-Mahony-Burgers equation, 4th International Conference of FIAM, SLIET Longowal, India, December 2021. • A Kumari & VK Kukreja, Application of septic Hermite interpolation polynomial for solving convection-diffusion equation, 4th International Conference of FIAM, SLIET Longowal, India, December 2021. • R Jain, S Arora & VK Kukreja, Stability analysis of numerical solutions of Burgers’ equation using Hermite splines, 9th International Conference on Advancement in Engineering & Technology, BGIET Sangrur, India, June 2021. • Shallu & VK Kukreja, An optimal quintic B-spline collocation method for fourth order singular singularly perturbed problems, International Conference on Mathematical Analysis & its Applications, South Asian University, New Delhi, India, December 2019. • VK Kukreja & R Kaur, Analysis of one-dimensional advection diffusion model using finite difference method, International Journal of Mathematical & Computational Sciences, 13(10), 184-188, 2019. • S Arora, I Kaur & VK Kukreja, Numerical analysis of singularly perturbed problems using quintic Hermite splines, 6th International Conference on Advancement in Engineering & Technology, BGIET Sangrur, India, February 2018. • R Kaur & VK Kukreja, Stability of one dimensional parabolic equation using finite difference method on an equidistant grid, International Conference on Recent Advances in Theoretical & Computational PDEs with Applications, Punjab University Chandigarh, India, December 2016. • AK Mittal & VK Kukreja, A combination of OCM and FEM for the solution of Burgers’ type equations, International Conference on Recent Advances in Theoretical & Computational PDEs with Applications, Punjab University Chandigarh, India, December 2016. • R Kaur & VK Kukreja, Solution of parabolic equation using finite difference method, MATHMEET-2015, South Asian University, Delhi, India, May 2015. • B Gupta & VK Kukreja, Efficient numerical solution of diffusion convection problem of chemical engineering, Presented at International Conference of Modeling, Simulation and Optimization Techniques, DAV College, Jalandhar, India, February 2015. • B Gupta & VK Kukreja, A new approach for the solution of two phase parabolic diffusion equation, Proceeding of International Multi-Track Conference on Science, Engineering & Technical Innovations, CTIEMT Jalandhar, India, 450-452(2), 2014. • R Kaur & VK Kukreja, On uniform convergence of diffusion model, International Conference on Recent trends in Mathematical Modeling & Statistical Analysis, JC DAV College, Dasuya, India, October 2014. • AK Mittal, IA Ahmad, N Parumasur, P Singh & VK Kukreja, Numerical solution of nonlinear diffusion dispersion model with OCFE using Hermite basis, International Conference on Mathematical Sciences, Nagpur, India, December 2012. 81-85(2012) 978-93-81432-66-2. • J Kumar & VK Kukreja, Solution of pulp washing model using Mathematica, International Conference on Advancements in Engineering & Technology, BGIET, Sangrur, India, October, 134-137, 2012. • B Gupta & VK Kukreja, Simulation of packed bed of porous particles by orthogonal spline collocation method, International Congress of Industrial & Applied Mathematics, Vancouver, Canada, July 2011. • VK Kukreja, AK Mittal, N Parumasur & P Singh, Solution of diffusion dispersion model by orthogonal collocation on finite elements using Hermite basis, International Congress of Industrial & Applied Mathematics, Vancouver, Canada, July 2011. • AK Mittal, VK Kukreja, N Parumasur & P Singh, On comparison of OCFE using Hermite basis with analytic and MATLAB ‘pdepe’ solver for axial dispersion model, International Conference on Emerging Trends on Computer Science & Information Technology, Khanna, February 2011. • AK Mittal, VK Kukreja, N Parumasur & P Singh, A note on mathematical modelling, International Conference on Industrial Competitiveness, Khanna, India, April 2010. • AK Mittal, VK Kukreja, N Parumasur & P Singh, Solution of axial dispersion model using orthogonal Hermite collocation method, International Congress of Mathematicians, Hyderabad, August 2010. • S Arora & VK Kukreja, Modelling of washing zone of brown stock washer, International Congress of Mathematicians, Hyderabad, India, August 2010. • VK Kukreja & S Arora, Numerical solution of axial dispersion model involving orthogonal collocation on finite elements, International Conference: Computational Methods in Applied Mathematics, Bedlewo, Poland June 2010. • V Nanda, B Singh, AS Bawa & VK Kukreja, Classification of Indian unifloral honey on the basis of physico chemical characteristics and mineral composition by pattern recognition methods, APIMONDIA 2009, Montpiller, France, September 2009. • S Arora, SS Dhaliwal & VK Kukreja, Analytic solution of an axial dispersion model involving retardation coefficient for the packed bed of porous particles, SIAM Conference on Mathematics for Industry: Challenges and Frontiers, Pennsylvania, USA, October 2007. (Abstract Only) • S Arora, SS Dhaliwal & VK Kukreja, On the convergence behaviour of the method of orthogonal collocation on finite elements, International Congress of Mathematicians, Madrid, Spain, August 2006. • VK Kukreja, AK Ray, VP Singh & NJ Rao, Application of mathematical models for solving pulp washing problems in paper industry, International Conference on Differential Equations: Theory, Methods & Applications, B.M. Birla Science Center, Hyderabad, February 1995. • VK Kukreja, AK Ray & VP Singh, Mathematical modelling of rotary drum pulp washers for paper industry, International Conference on Stochastic Models, Optimization Techniques & Computer Applications, PSG College of Technology, Coimbatore, December 1994.
Papers in National Conferences – 18 • M Mand, VK Kukreja & B Singh, A brief study on influence curve and its importance in robust estimation, Significance of Statistical Sciences in the Emerging Scenario, University of Jammu, Jammu, India, February 2023. • SP Kaur, AK Mittal & VK Kukreja, A computationally efficient algorithm for solution of mathematical models of displacement washing, AICTE sponsored National E Conference on Advances in Computer Vision, Artificial Intelligence & Computer Applications, Pragati College of Engineering, Surampalem, India, November 2020. • SP Kaur, AK Mittal & VK Kukreja, Computationally efficient technique for pulp washing problems, National Conference on Science, Engineering & Management, The Oxford College of Engineering, Bengaluru, India, July 2020. • A Kumari & VK Kukreja, Numerical solution of Fisher’s equation using septic Hermite collocation method, 23rd Punjab Science Congress, SLIET Longowal, India, February 2020. • AK Mittal & VK Kukreja, Simulation of mathematical model for displacement washing of pulp fibers using orthogonal collocation on finite element method, National Seminar on Chemical Industry in India: Opportunities & Challenges, SLIET, Longowal, India, September 2016. • IA Ganaie, AK Mittal & VK Kukreja, Numerical solution of diffusion dispersion models using cubic Hermite collocation method, National Seminar on Mathematics & Its Applications, Punjabi University, Patiala, India, December 2012. • B Gupta, VK Kukreja, N Parumasur & P Singh, Solution of nonlinear parabolic PDEs arising in fluid flow through porous packed bed, 11th Biennial Conference of ISIAM, Gautam Buddha University, Greater Noida, India, December 2012. • Ganaie, B Gupta & VK Kukreja, Solution of axial dispersion model using cubic Hermite collocation method, 8th J & K Science Congress, University of Kashmir, Srinagar, India, September 2012. • VK Kukreja, IA Ganaie & S Arora, Solution of boundary value problems using Mathematica, 15th Punjab Science Congress, GNDU, Amritsar, India, February 2012. • B Gupta & VK Kukreja, Comparison between OSCM and MATLAB ‘pdepe’ solver for diffusion dispersion model, 14th Punjab Science Congress, SLIET, Longowal, India, February 2011. • B Gupta & VK Kukreja, Mathematical modeling of pulp washing using orthogonal spline collocation method, 14th Punjab Science Congress, SLIET, Longowal, India, February 2011. • AK Mittal, VK Kukreja, N Parumasur & P Singh, Application of orthogonal collocation method using Hermite basis for solving axial dispersion model, 14th Punjab Science Congress, SLIET, Longowal, India, February 2011. • S Arora, SS Dhaliwal & VK Kukreja, A simple algorithm for calculation of collocation constants, Recent Trends in Engineering and Applications of Computational Techniques, BGIET, Sangrur, April 2006. • S Arora, SS Dhaliwal & VK Kukreja, Effect of orthogonal polynomials in terms of weight functions on parabolic partial differential equation, Computational Intelligence in Electrical Engineering, SLIET, Longowal, November 2005. • S Arora & VK Kukreja, Orthogonal collocation method and its application in solving partial differential equations, 6th Punjab Science Congress, SLIET, Longowal, February 2003. • VK Kukreja, AK Ray, VP Singh & NJ Rao, Rotary brown stock pulp washers – A review, “XI National Convention of Chemical Engineers”, University of Roorkee, Roorkee, Convention Proceedings, September, pp I 34 – I 38, 1995. • VK Kukreja, AK Ray, VP Singh & NJ Rao, Brownstock washing in paper industry – A mathematical approach, 3rd Annual Conf. of ISIAM, University of Calcutta, Calcutta, May 1995. • VK Kukreja, AK Ray & VP Singh, On the mathematical modelling of brown stock washers for paper industry, Mathematics for Industrial Development, Agra University, Agra, March 1994.
Book Chapters Published – 8 • A Kumari, Shallu & VK Kukreja, Study of self-adjoint singularly perturbed BVP by septic Hermite collocation method, Proceeding of The European Consortium for Mathematics in Industry, Progress in Industrial Mathematics at ECMI- 2021, 39, 517-526, 2022. • SP Kaur, AK Mittal & VK Kukreja, Simulation of two-dimensional nonlinear model for washing of pulp fiber bed using quintic Hermite interpolation polynomials, Proceedings 7th International Conference on Mathematics and Computing, Advances in Intelligent Systems and Computing, 1412, 995-1009, 2022. ISBN978-981-16-6889-0. • R Kaur & VK Kukreja, Stability analysis of one-dimensional diffusion equation using finite difference method, Proceedings of International Conference on Advancements in Science & Technology, McGraw Hill Education (India) Pvt. Ltd., New Delhi, 201-203, 2017. ISBN: 978-93-5260-650-4. • J Kumar & VK Kukreja, Mathematical model of pulp washing using Mathematica, Proceedings of 4th International Conference on Advancements in Engineering & Technology, MATEC Web of Conferences, EDP Sciences, Vol 57, 360-364, 2016. ISBN: 9781510824072. • S Arora, SS Dhaliwal & VK Kukreja, Numerical solution of a packed bed model using orthogonal collocation, Mathematical Biology: Recent Trends, Anamaya Publishers, New Delhi, India, 107-112, 2006. • VK Kukreja, AK Ray, VP Singh & NJ Rao, Mathematical techniques & their application in paper industry, Mathematics and Its Application in Industry & Business, Narosa Publishing House, New Delhi, 168-74, 2000. • VK Kukreja, AK Ray, VP Singh & NJ Rao, Some rotary vacuum performance parameters, and their correlations, 1996 TAPPI (Technical Association of Pulp & Paper Industry) Pulping Conference Book, Vol – 2, 837-847, 1996. (ISBN 9780898526721) • VK Kukreja, AK Ray, VP Singh & NJ Rao, Evolution of filtration rates of continuous filters, Convention Issue, Indian Pulp & Paper Technical Association, December, 41-45, 1994.
Papers Published in UGC Care Journals – 7 • VK Kukreja, S Arora & AK Ray, Mathematical modelling of displacement washing of packed bed of cellulosic fibers, IPPTA Papyrus 360, 33(1), 19-29, 2021. • A Kaur, Shelly & V.K. Kukreja, Analytic solution of axial dispersion model using Laplace transform, Indian J. of Industrial & Applied Mathematics, 4(2), 99-107, 2013. • B Gupta & VK Kukreja, Solution of diffusion dispersion model using spline collocation method, Indian J. of Industrial & Applied Mathematics, 3(2), 1-12, 2012. • P Gupta, VK Kukreja, & JR Sharma, On third-order iterative methods to solve nonlinear equations by using rational functions, Indian J. of Industrial & Applied Mathematics, 3(1), 56-63, 2012. • S Arora, SS Dhaliwal & VK Kukreja, Convergence of orthogonal collocation on finite elements for parabolic partial differential equations, Indian J. of Industrial & Applied Mathematics, 1(2), 63-72, 2008. • VK Kukreja, Mathematical model related to washing zone of a brown stock washer, J. of Panjab Academy of Sciences, 1(1), 261-274, 1999. • VK Kukreja, AK Ray, VP Singh & NJ Rao, Different approaches to evaluate brown stock washer efficiency, IPPTA, 7(4), 61-65, 1995.
Areas of Interest Expertise includes applied mathematics and numerical analysis, with emphasis on solution techniques for ODEs, PDEs, and FPDEs. Research spans flow through porous media, mathematical modelling, and industrial mathematics, while recent work explores statistics and data analytics using modern computational tools.
Project Ongoing – 1 FIST project worth Rs.70 Lacs sanctioned by DST New Delhi for setting up an Advance Computational Lab in the Department of Mathematics, SLIET Longowal.
Projects Completed – 2 1. Project entitled Application of … dispersion phenomenon, was awarded by CSIR, New Delhi, from January 2002 to December 2004 (3 Years). 2. Project entitled Solution of … polynomials as basis, was awarded by NBHM Mumbai, from March 2010 to March 2013 (3 Years).
Ph.D. Candidates Guided – 10 • Dr. Shelly Arora, 2007, Solutions of partial differential equations involving diffusion dispersion phenomenon using weighted residual methods • Dr. Ajay Kumar Mittal, 2015, Solution of two-point boundary value problems by orthogonal collocation on finite elements using Hermite basis • Dr. Ishfaq Ahmad Ganaie, 2015, Solution of differential equations using Hermite collocation method • Dr. Bharti Gupta, 2016, Application of orthogonal spline collocation method for the solution of diffusion problems • Dr. Jitender Kumar, 2018, Analytic solution of boundary value problems involving diffusion dispersion phenomenon • Dr. Ravneet Kaur, 2022, Solution of some partial differential equations using finite difference method • Dr. Shallu, 2023, An improvised B-spline collocation method for non-linear partial differential equations • Dr. Rajiv Jain, 2023, Study of non-linear singularly perturbed differential equations using collocation method with Hermite splines • Dr. Satinder Pal Kaur, 2023, Solution of two-point boundary value problems by quintic Hermite collocation method • Dr. Archna Kumari, 2023, Solution of singularly perturbed differential equations using Hermite collocation method
Ph.D. Candidates Under Progress – 9 • Ms. Anita Devi (on Solution of Fractional PDEs using Splines) Since September 2021. • Ms. Mannat Mand (on Data Science) Since October 2021. (with Dr. Birmohan Singh) • Mr. Arbaz (on Solution of PDEs) Since September 2022. (with Dr. Sudhir Kumar) • Ms. Annu Devi (on Solution of PDEs) Since February 2024. • Ms. Arti Devi (on hybrid block methods) 2024. (with Dr. Vinay Kanwar, UIET Chandigarh) • Mr. Subarna Khanra (PINNs) 2025. (with Dr. Indu Bala, University of Adelaide, Australia) • Mr. Sameet (on CFDM) 2025. (with Dr. J.R. Sharma) • Mr. Sukhminder Singh (on FPDEs) 2025. (with Dr. J.R. Sharma) • Mr. Naveen Kumar (on FPDEs) 2025. (with Dr. Bharti Gupta, Doaba College Jalandhar)
CSIR SRF Candidate Guided – 1 M. Phil. Candidates Guided – 5 M.Sc. Candidates Guided – 6 International Conferences Attended – 21 National Conferences Attended – 13 Workshop/Seminar Organized – 14 Research Paper Reviewer: • MDPI • Elsevier • Springer • Wiley • AIM • American Mathematical Society • Taylors & Francis
Ph.D. Thesis Examined – 20 • Himachal Pradesh University, Shimla • IKG Panjab Technical University, Kapurthala • Central University of Punjab, Bathinda • National Institute of Technology, Hamirpur • Panjab University, Chandigarh • Eternal University, Baru Sahib, Himachal Pradesh • University of Kashmir Srinagar • University of Kwazulu-Natal, South Africa • Lovely Professional University, Punjab • Thapar Institute of Engineering & Technology, Patiala • University of Lucknow, Lucknow • Desh Bhagat University, Mandi Gobindgarh • Bharathidasan University, Tiruchirappalli • Punjabi University, Patiala
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