Prof. V.K. Kukreja
Professor
Mathematics
+911672253268
+911672253269
9463017135
vkkukreja@gmail.com
Ph.D. from University of Roorkee, Roorkee in 1997. M.Sc. from Meerut University, Meerut, in 1989.
• Professor (Mathematics), SLIET Longowal, India, since September 08, 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 till 05/04/2000.
• 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:
1. Member, National Scientific Advisory Committee, International Conference on Advances in Multi-Disciplinary Sciences and Engineering Research, Chitkara University, July 2021. 2. Member, BoS (Mathematics), UG & PG, Mata Gujri College, Fatehgarh Sahib, 2021, 2011-2017. 3. Session Chair, 3rd International Conference FIAM, NIT Jamshedpur, December 2020. 4. Session Chair, 23rd Punjab Science Congress, February 2020. 5. Member, National Advisory Committee, 7th International Conference organized by Him Science Congress Association at Chitkara University, Baddi, October 2019. 6. Member, Advisory Committee, International Conference on Trends in Science, Engineering and Management, Gulzar Group of Institutes, Khanna, July 2019. 7. Keynote Address, AICTE Sponsored STTP, SBS State Technical Campus, Ferozpur July 2019. 8. Member, BoS (Mathematics), UG, SBS State Technical Campus, Ferozpur, 2018 – 2020. 9. Member, VMC, Kendriya Vidyalaya, SLIET Longowal, 2016 to till date. 10. Keynote Talk, NITTTR Chandigarh organized by Haryana State Technical Board, July 2018. 11. Keynote Talk and Session Chair, 19th International Conference on Advances in Numerical Methods and Applied Mathematics, Singapore, November 2017. 12. Session Chair and Member Advisory Committee, International Conference on Mathematics and Engineering Sciences, Chitkara University, Baddi, March 2014. 13. Session Co-Chair, 14th Punjab Science Congress, February 2011. 14. Session Chair, International Conference on Modeling of Engineering & Technological Problems, BMAS Engineering College, Agra, January 2009. 15. Best Paper Award in 6th International Conference on Advancement in Engineering and Technology, BGIET Sangrur, February 2018. (with Dr S. Arora & Dr I. Kaur) 16. Best Poster Award, 14th Punjab Science Congress, February 2011. (with Dr B. Gupta) 17. First prize in National Workshop on Mathematical Modeling, Sponsored by DST, CMS, Banasthali University, Banasthali, December 2009. 18. Sisir Kumar Mitra Memorial Award-96 from IIChE, Calcutta, India.
Invited Talks Delivered: Numerical Methods
1. UGC HRDC Refresher Course, GJUST, Hisar, January 2021. 2. UGC HRDC Refresher Course, Punjabi University, Patiala, November 2020, May 2014. 3. UGC HRDC Refresher Course, GNDU, Amritsar, November 2019, December 2009. 4. Department of Mathematics and Statistics, CUP, Bathinda, February 2019. 5. National Workshop, GN College, Budhlada, April 2017. 6. TEQIP-II sponsored STTP, SLIET, Longowal, October 2016, March 2015. 7. National Seminar, Government College, Muktsar, November 2015. 8. NBHM sponsored National Workshop, University of Kashmir, Srinagar, October 2015. 9. Department of Mathematics, Govind National College, Narangwal, February 2012. 10. National Workshop, University of Delhi, Delhi, December 2010. 11. AICTE sponsored SDP, SLIET Longowal, July 2009.
Introduction to SPSS 12. TEQIP-III sponsored STC, NIT, Uttarakhand, July 2019. 13. Guru Kashi University, Talwandi Sabo, Bathinda, November 2012.
Introduction to MATLAB and MATHEMATICA 14. UGC ACS Refresher Course, Punjabi University, Patiala, June 2017, May 2014. 15. TEQIP-III sponsored STTP, SLIET, Longowal, August 2018. 16. NBHM sponsored National Workshop, University of Kashmir, Srinagar, October 2015. 17. TEQIP-II sponsored STTP, SLIET, Longowal, June 2015. 18. Department of Mathematics, Mata Gujri College, Fatehgarh Sahib, 2014, 2011. 19. UGC ACS Refresher Course, Punjabi University, Patiala, December 2012.
Statistics / Theory of Sampling 20. UGC HRDC Refresher Course, GNDU, Amritsar, November 2019. 21. UGC ACS Refresher Course, Punjabi University, Patiala, June 2017. 22. AICTE New Delhi sponsored SDP, BGIET, Sangrur, May 2012.
Applications of Mathematics 23. PSCST sponsored Symposium on Mathematics, Rayat Bahra University Mohali, April 2018. 24. DST Inspire Camp, ACPTE, Sangrur, December 2013, March 2013, March 2012. 25. DST Inspire Camp, Asian Institute, Patiala, November 2013. 26. Department of Mathematics, Chitkara University, Rajpura, March 2011.
Mathematical Modelling 27. UGC HRDC Refresher Course, GJUST, Hisar, January 2021. 28. Workshop on Mathematical Modeling, SLIET Longowal & NIT Uttarakhand, August 2020. 29. J.C. Bose University of Science & Technology, YMCA, Faridabad, August 2020. 30. FDP on Mathematical Modelling, Guru Nanak College for Girls, Muktsar, August 2020. 31. FDP on Exploring Science & Technology, Panjab University Chandigarh, August 2020.
Academic Visits Abroad: 1. Singapore to attend ICANMAM, November 09-10, 2017. 2. Rhodes (Greece) to ICNAAM, September 21-27, 2013. 3. Vancouver (Canada) to attend ICIAM, July 18-22, 2011. 4. Bedlewo (Poland) to attend CMAM, June 20-26, 2010. 5. Zurich (Switzerland) to attend ICIAM, July 16-20, 2007. 6. Madrid (Spain) to attend ICM, August 22-30, 2006.
Research papers in Journals: 1. Shallu & VK Kukreja, An efficient collocation algorithm with SSP-RK43 scheme to solve Rosenau-KdV-RLW equation, International Journal of Applied and Computational Mathematics, 2021. Springer, ISSN 2349-5103, Scopus (Accepted) 2. 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. Wiley, ISSN: 1098-2426, IF 2.236. 3. Shallu, A Kumari & VK Kukreja, An improved extrapolated collocation technique for singularly perturbed problems using cubic B-spline functions, The Mediterranean Journal of Mathematics, 2021. Springer, ISSN: 1660-5454, IF 1.216 (In press) 4. VK Kukreja, S Arora & AK Ray, Mathematical modelling of displacement washing of packed bed of cellulosic fibers, IPPTA Papyrus 360, 2021. (In press) 5. Shallu & VK Kukreja, Analysis of RLW and MRLW equation using improvised collocation technique with SSP-RK43 scheme, Wave Motion, 2021. Elsevier, ISSN: 0165-2125, IF 1.563 (Accepted) 6. A Kumari & VK Kukreja, Robust septic Hermite collocation technique for singularly perturbed generalized Hodgkin-Huxley equation, International Journal of Computer Mathematics, 2021. Taylor & Francis, ISSN: 0020-7160, IF 1.196. (Accepted) 7. Kaur SP, 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, 1-23, 2021, Springer Nature, ISSN: 2190-7668, Scopus. 8. Shallu, A Kumari & VK Kukreja, An efficient super convergent spline collocation algorithm for solving fourth order singularly perturbed problems, International Journal of Applied and Computational Mathematics, 6(5), 1-23, 2020. Springer, ISSN: 2349-5103, Scopus. 9. 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. 10. 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. Taylor & Francis, ISSN: 0972-0502. 11. VK Kukreja & R Kaur, Analysis of one dimensional advection diffusion model using finite difference method, International Journal of Mathematical and Computational Sciences, 13(10), 184-188, 2019. ISSN : 1307-6892. 12. 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. (doi: 10.1063/1.5042201) ISBN 978-0-7354-1684-0, Scopus. 13. S Arora, IP Kaur, H Kumar & VK Kukreja, A robust technique of cubic Hermite collocation for the solution of complex non linear model, Journal of King Saud University – Engineering Sciences, 29(2), 159-165, 2017. 14. IA Ganaie, S Arora & VK Kukreja, Cubic Hermite collocation solution of Kuramoto-Sivashinsky equation, International Journal of Computer Mathematics, 93(1), 223-235, 2016. Taylor & Francis, ISSN: 0020-7160, IF 1.196. 15. 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 and Applications, 5(1), January-June, 187-192, 2015. 16. 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. 17. B Gupta & VK Kukreja, Efficient numerical solution of diffusion convection problem of chemical engineering, Chemical & Process Engineering Research, 31, 70-75, 2015. 18. 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. 19. 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) 20. IA Ganaie & VK Kukreja, Numerical solution of Burgers equation by cubic Hermite collocation method, Applied Mathematics & Computation, 237, 571-581, 2014. 21. 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.
22. 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. 23. 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. 24. 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. 25. 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. 26. 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. 27. 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. 28. J Kumar, IA Ganaie & VK Kukreja, Application of Mathematica software to solve pulp washing model, ISRN Chemical Engineering, doi:10.1155/2013/765896, 2013. 29. 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. 30. B Gupta & VK Kukreja, Numerical approach for solving diffusion problems using cubic B-spline collocation method, Applied Mathematics & Computation, 219(4), 2087-2099, 2012. 31. B Gupta & VK Kukreja, Solution of diffusion dispersion model using Spline collocation method, Indian J. of Industrial & Applied Mathematics, 3(2), 1-12, 2012. 32. 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. 33. 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. 34. 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. 35. 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. 36. 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. 37. 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), July – December, 63-72, 2008. 38. 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. 39. 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. 40. 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. 41. 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. 42. 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. 43. 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. 44. 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. 45. 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. 46. Mamta, V Kanwar, VK Kukreja & S Singh, On some third order iterative methods for solving non linear equations, Applied Mathematics & Computation, 171(1), 272-280, 2005. 47. Mamta, V Kanwar, VK Kukreja & S Singh, On a class of quadratically convergent iteration formulae, Applied Mathematics & Computation, 166(3), 633-637, 2005. 48. 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. 49. VK Kukreja, AK Ray, VP Singh & NJ Rao, Mathematical analysis for evaluation of filtrate flow rates in brown stock washers, Indian Chemical Engineer, Section A, 41(3), July-September, T 87-90, 1999. 50. VK Kukreja, Mathematical model related to washing zone of a brown stock washer, J. of Panjab Academy of Sciences, 1(1), 261-274, 1999. 51. 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. 52. VK Kukreja, AK Ray, VP Singh & NJ Rao, Different approaches to evaluate brown stock washer efficiency, IPPTA, 7(4), December, 61-65, 1995. 53. 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.
Research papers as part of Book: 1. R Kaur & VK Kukreja, Stability analysis of one dimensional diffusion equation using finite difference method, Proceedings of International Conference on Advancements in Science & Technology, Published by McGraw Hill Education (India) Pvt. Ltd., New Delhi, 201-203, 2017. ISBN: 978-93-5260-650-4. 2. S Arora, SS Dhaliwal & VK Kukreja, Numerical solution of a packed bed model using orthogonal collocation, Mathematical Biology: Recent Trends, Published by Anamaya Publishers, New Delhi, India, 107-112, 2006. 3. VK Kukreja, AK Ray, VP Singh & NJ Rao, Mathematical techniques & their application in paper industry, Mathematics and Its Application in Industry & Business, Published by Narosa Publishing House, New Delhi, 168-74, 2000. 4. 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) 5. VK Kukreja, AK Ray, VP Singh & NJ Rao, Evolution of filtration rates of continuous filters, IPPTA Convention Issue, December, 41-45, 1994. Research papers in Conferences: 1. SP Kaur, AK Mittal and 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 and Computer Applications, Pragati College of Engineering, Surampalem, November 28, 2020. 2. SP Kaur, AK Mittal and VK Kukreja, Computationally efficient technique for pulp washing problems, National Conference on Science, Engineering and Management, The Oxford College of Engineering, Bengaluru, July 15-16, 2020. 3. A Kumari & VK Kukreja, Numerical solution of Fisher’s equation using septic Hermite collocation method, 23rd Punjab Science Congress, SLIET Longowal, February 7-9, 2020. 4. Shallu & VK Kukreja, An optimal quintic B-spline collocation method for fourth order singular singularly perturbed problems, International Conference on Mathematical Analysis and its Applications, South Asian University, New Delhi, December 14-16, 2019. 5. S Arora, I Kaur & VK Kukreja, Numerical analysis of singularly perturbed problems using quintic Hermite splines, 6th International Conference on Advancement in Engineering and Technology, BGIET Sangrur, February 23-24, 2018. 6. VK Kukreja & R Kaur, Analysis of one dimensional advection diffusion model using finite difference method, 19th International Conference on Advances in Numerical Methods & Applied Mathematics, Singapore, November 9-10, 2017. WASET, Singapore 7. 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, December 5-9, 2016. 8. 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, December 5-9, 2016. 9. 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, September 22-23, 2016. 10. R Kaur & VK Kukreja, Solution of parabolic equation using finite difference method, MATHMEET-2015, South Asian University, Delhi, May 8-9, 2015. 11. 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 12-14, 2015. 12. 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 and Technical Innovations, CTIEMT Jalandhar, 450-452(2), 2014. 13. R Kaur & VK Kukreja, On uniform convergence of diffusion model, International Conference on Recent trends in Mathematical Modeling and Statistical Analysis, JC DAV College, Dasuya, October 29, 2014. 14. 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. 15. IA Ganaie, AK Mittal & VK Kukreja, Numerical solution of diffusion dispersion models using cubic Hermite collocation method, National Seminar on Mathematics and its Applications, Punjabi University, Patiala, India, December, 2012. 16. 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. 17. 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. 18. IA 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. 19. VK Kukreja, IA Ganaie & S Arora, Solution of boundary value problems using Mathematica, 15th Punjab Science Congress, GNDU, Amritsar, India, February, 2012. 20. 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. 21. 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. 22. B Gupta & VK Kukreja, Comparison between OSCM and MATLAB ‘pdepe’ solver for diffusion dispersion model, 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011. 23. B Gupta & VK Kukreja, Mathematical modeling of pulp washing using orthogonal spline collocation method, 14th Punjab Science Congress, SLIET, Longowal, India, February, 2011. 24. 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. 25. 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. 26. AK Mittal, VK Kukreja, N Parumasur & P Singh, A note on mathematical modelling, International Conference on Industrial Competitiveness, Khanna, India, April, 2010. 27. 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. 28. S Arora & VK Kukreja, Modelling of washing zone of brown stock washer, International Congress of Mathematicians, Hyderabad, India, August, 2010. 29. 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. 30. 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. 31. 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) 32. 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. 33. 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. 34. 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. 35. S Arora & VK Kukreja, Orthogonal collocation method and its application in solving partial differential equations, 6th Punjab Science Congress, SLIET, Longowal, February 2003. 36. 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. 37. 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. 38. 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. 39. VK Kukreja, AK Ray, VP Singh & NJ Rao, Evolution of filtration rates of continuous filters, IPPTA Convention, December, 1994. 40. 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. 41. 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.
Projects Completed – 02 A research project entitled Application of orthogonal collocation method for solving partial differential equation involving diffusion dispersion phenomenon, was awarded by Council of Scientific and Industrial Research, New Delhi, India, from January, 2002 to December, 2004 (3 Years). Total cost of project was Rs. 2,58,500/-.
A research project entitled Solution of two-point boundary value problems by orthogonal collocation on finite elements using Hermite polynomials as basis, was awarded by National Board of Higher Mathematics, Department of Atomic Energy, Mumbai, India, from March, 2010 to March, 2014 (4 Years). Total cost of project was Rs. 6,63,305/-.
Ph.D. Candidate Guided – 05 Name : Ms. Shelly Arora (2007) Thesis : Solutions of partial differential equations involving diffusion dispersion phenomenon using weighted residual methods. Name : Mr. Ajay Kumar Mittal (May 2015) Thesis : Solution of two point boundary value problems by orthogonal collocation on finite elements using Hermite basis Name : Mr. Ishfaq Ahmad Ganaie (June 2015) Thesis : Solution of differential equations using Hermite collocation method Name : Ms. Bharti Gupta (July 2016) Thesis : Application of orthogonal spline collocation method for the solution of diffusion problems
Name : Mr. Jitender Kumar (May 2018)
Thesis : Analytic solution of BVPs involving diffusion dispersion phenomenon Ph.D. Under Progress – 05 Ms. Ravneet Kaur (on finite difference method). Mr. Rajiv Jain (on singularly perturbed differential equations). Ms. Satinder Kaur (on two point boundary value problems). Ms. Shallu (on Spline collocation method). Ms. Archna (on Hermite collocation method).
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