Dr. V. Mishra

Basic Details


Dr. V. Mishra






Phone (O)






Educational Details

Educational Qualification

B.Sc. (Physics, Chemistry, Maths) (1989)

M.Sc. (Maths) (1991)

Ph.D. (Maths) (1998)



1. Formerly Head, Mathematics Department, SLIET (Deemed University) (more than three years)

2. Regular teaching (UG & PG):

PG (M.Sc. Maths) teaching: Wavelet Analysis; Classical Mechanics; Fluid Dynamics; Theoretical Seismology

UG (B.E.) teaching: Applied & Engineering Mathematics; Numerical Analysis; Statistics & Operations Research
3. Five months of industrial exposure at Chandigarh, Dehradun and Patiala
4. Invited Lectures arranged (03): (a) Prof. Oscar Joao Abdounur, University of Sao Paulo, Brazil, 2011; (b) Retd Prof. Bhudev Sharma, Clark Atlanta University, USA, 2015; (c) Prof. Mamta Rani, Central University of Rajasthan, 2023
5. Programs Organized (05): (a) National Workshop on Computational Aspects of Mathematics (2006) as Chairman; (b) National Seminar on Statistics and Its Applications (2007) as Chairman; (c) National Science Week 2014 (Quiz, Poster Presentation & Seminar) as Convener; (d) Earth Day 2022 (Poster Competition & Seminar) as Convener; (e) Earth Day 2023 (Quiz, Poster Competition & Seminar) as Convener

Book Authored

Book authored

1. Reference-cum-Text Book:
Theory of Transforms with Applications, Ane Books Pvt Ltd, New Delhi, 2017, Pages 370 (Hardcover) (Price Rs 1995/-)     ISBN 978-93-8546-260-3 (sole author)
Chapters: i) Fourier Series,ii) Continuous Fourier Transform, iii) Discrete and Fast Fourier Transforms, iv) Laplace Transform, v) Numerical Inverse Laplace Transform,vi) Mellin Transform, vii) Hankel Transform, viii) Legendre Transform and ix) Z Transform
Appendix   Bibliography   Index


2. Edited Book Chapters:
i) Fibonacci Sequence: History and Modern Applications, in: History and Development of Mathematics in India (Proceedings of CHDM Kanchipuram, 2018), National Mission for Manuscript and DK Printword (P) Ltd, New Delhi, 2022 , pp. 155-180.   ISBN 978-93-80829-70-8 https://www.namami.gov.in/books/samikshika

ii) Magic Squares in Indian Mathematics: Constructions and Properties, in: Understanding Values and Ethics in Shrinking World (Proceedings of VICUVESW, Central University of Rajasthan, 2022), Bloomsbury Publishing, UK, 2022, pp. 12-21.  ISBN 978-93-54358-94-4


Professional Memebership

Professional Membership

1. Indian Mathematical Society (Life Member)
2. Calcutta Mathematical Society (Life Member)
3. Indian Society for Industrial and Applied Mathematics (Life Member)
4. Indian Society for History of Mathematics (Life Member)
5. American Mathematical Society (Annual;1997)
6. Vijnana Parishad of India (Life Member)



1. Chief Guest & Keynote Speaker, “One Day State Level Workshop on Ramanujan and Development of Mathematics” Organized by Department of Mathematics, Government Kamladevi Rathi Girls PG College, Rajnandgaon (CG) on 21 December, 2021(Supported by Chhattisgarh Council of Science and Technology and National Council for Science and Technology Communication, DST, New Delhi)

2. Invited Lectures/Talks delivered  during national and international conferences on History of Mathematics/Wavelet Analysis/Numerical Laplace Transform) (finance born by host institutions): [30] including at:


Institutes of National Importance:

(a) National Centre for Mathematics Mumbai (IITB-TIFR Joint Venture) (2013); (b) IIT Bombay (2015); NIT Manipur (2016); (c) Indian Institute of Advanced Study Shimla (2000); (d) Inter-University Centre for Astronomy & Astrophysics Pune (1999)
Central & State Universities:

(a) Jawaharlal Nehru University New Delhi (2020); (b) HNB Garhwal University Srinagar (2016); (c) Sikkim University Gangtok (2018); (d) Bundelkhand University Jhansi (2018); (e) Vikram University Ujjain (2021); (g) Central University of Rajasthan, Ajmer (2022)
Deemed Universities:

(a) Gurukula Kangri Vishwavidyalaya Haridwar (1998, 2003 & 2020); (b) Sri Chandrasekhrendra Saraswathi Viswa Mahavidyalaya Kanchipuram (2018); (c) Graphic Era University Dehradun (2011 & 2013); (d) Sant Longowal Institute of Engineering & Technology Longowal (2013, 2019 & 2023)

PG Colleges:

(a) DAV (PG) College Kanpur (2011 & 2022); (b) Govt. Autonomous Digvijay (PG) College Rajnandgoan (2014)

Overseas Universities:

(a) Tribhuvan University Kathmandu (2013); (b) National University of Singapore (2005)


3. Guest Lectures delivered: (a) 02 on Classical Mechanics at Chandigarh University (Punjab) for M.Sc. Students, (b) Vector Calculus (03) and Numerical Methods (03) at NIT Uttarakhand for B.Tech. Students, (c) Indian Geometry (01) at Kurukshetra University to M.Sc. (Mathematics) students

4. Technical Sessions Chaired (during National and International Conferences) [16]:

(a) Indian Institute of Advanced Study, Shimla (2000); (b) Graphic Era University, Dehradun (2011, 2013); (c) DAV (PG) College, Kanpur (2011); (d) Govt. Digvijay PG College, Rajnandgoan (2014); (e) Sri Sai College of Engineering & Technology, Pathankot (2015); (f) Asra College of Engineering and Technology, Sangrur (2016); (g) HNB Garhwal University, Pauri Campus (2016); (h) Sri Chandarsekrendara Saraswathi Viswa Mahavidyalaya, Kanchipuram (2018); (i) Central University of Rajasthan, Ajmer (2022); (j) SLIET, Longowal (2011, 2020 (four), 2023).

5. Reviewer-American Mathematical Society (Mathematical Reviews/MathSciNet), Springer Nature, Elsevier, IEEE and MDPI



Selected publications with links (UGC CARE/SCOPUS/WOS/SCI-Expanded/ MathSciNet/ZbMATH/CrossRef/Semantic Scholar indexed journals)  are given below. Citations reported are over 500, H-index 13, and i10-index 15.

Research publications (more than 55) in the following specialisations:

1. History of Mathematics
2. Wavelet Analysis
3. Numerical Laplace Transform
4. Matrix Algebra, Number Theory & Cryptography

1.    Haar Wavelet Approximation Solutions for the Generalized Lane Emden Equations Arising in Astrophysics, Computer Physics Communications  (Elsevier) 184 (2023), 2169-2177.     [SCIE, IF-6.3; SJR, 1.729]   [Citations: 71] http://dx.doi.org/10.1016/j.cpc.2013.04.013
2.    Haar Wavelet Solutions of Nonlinear Oscillator Equations, Applied Mathematical Modelling (Elsevier) 38 (2014), 4958-4971. [SCIE, IF-5.0; SJR, 1.876]  [Citations: 37]  http://dx.doi.org/10.1016/j.apm.2014.03.019
3.    Haar Wavelet Based Numerical Investigation of Coupled Viscous Burgers Equation, International Journal of Computer Mathematics  (Taylor & Francis) 92 (2015), 1643-1659.    [SCIE, IF-1.8; SJR, 0.456]    [Citations: 27] https://www.tandfonline.com/doi/full/10.1080/00207160.2014.957688
4.    Numerical Inversion of Laplace Transform based on Bernstein Operational Matrix, Mathematical Methods in the Applied Sciences (Wiley & Sons) 41 (2018), 9231-9243.   [SCIE, IF-2.9; SJR, 0.666] [Citations: 13]
5.    Numerical Inverse Laplace Transform for Solving a Class of Fractional Differential Equations, Symmetry-Basel  (MDPI) 11 (2019), No. 530, 1-20. [SCIE, IF-2.7; SJR, 0.33]   [Citations: 26]
6.    Numerical Inverse Laplace Transform based on Bernoulli Polynomials Operational Matrix for Solving Nonlinear Differential Equations, Results in Physics (Elsevier) 16 (2020), No. 102836, 1-7. [SCIE, IF-5.3; SJR, 0.45] [Citations: 38]   https://doi.org/10.1016/j.rinp.2019.102836
7.    Laplace Transform Inversion using Bernstein Operational Matrix of Integration and its Application to Differential and Integral Equations, Proceedings of National Academy of Sciences – Mathematical Sciences (Springer) 130 (2020), No. 60, 1-29. [SCIE, IF-0.3; SJR, 0.31]  [Citations: 06]
8.    Grayscale and Colored Image Encryption Model using a Novel Fused Magic Cube, Nonlinear Dynamics (Springer) 108 (2022), 1773-1796.  [SCIE, IF-5.6; SJR, 1.25]  [Citations: 12]   https://doi.org/10.1007/s11071-022-07276-y
9.    Piecewise Symmetric Magic Cube: Application to Text Cryptography, Multimedia Tools and Applications (Springer) 82 (2023), 19369–19391.  [SCIE, IF-3.6; SJR, 0.716]   [Citations: 0]                      https://doi.org/10.1007/s11042-022-14153-8
10. Image Encryption Model based on Novel Magic Square with Differential Encoding and Chaotic Map, Nonlinear Dynamics (Springer) 111 (2023), 2869-2893.  [SCIE, IF-5.6; SJR, 1.25]  [Citations: 06]  

1.    Wavelet-Galerkin Solutions of Ordinary Differential Equations, International Journal of Mathematical Analysis (Hikari) 5 (2011), 407-424.       [SJR, 0.211] [Citations: 42]
2.    Haar Wavelet Approach for Solving Nonlinear Differential and Integral Equations, Neural, Parallel and Scientific Computations 22 (2014), 421-430.  [SJR, 0.127]  [Citations: 0]
3.    Newton-Raphson based Modified Laplace Adomian Decomposition Method for Solving Quadratic Ricatti Differential Equations, Matec Web of Conferences 57 (2016), 05001, 1-4.  [SJR, 0.130]  [Citations: 09] [WOS(CPCI)] 


4.    Solving Linear Fractional Order Differential Equations by Chebyshev Polynomials based Numerical inverse Laplace Transform, Mathematics in Engineering, Science and Aerospace 10 (2019), 781-791. [SJR, 0.163] [Citations: 11]
5.    Bernoulli Wavelet Method for Numerical Solution of Anomalous Infiltration and Diffusion Modeling by Nonlinear Fractional Differential Equations of Variable Order, Results in Applied Mathematics (Elsevier) 10 (2021), No. 100146, pp.1-13.  [SJR, 0.69]   [Citations: 27]   [ESCI, IF-2.0]    https://doi.org/10.1016/j.rinam.2021.100146
6.    Behaviour of Powers of Odd Ordered Special Circulant Magic Squares, International Journal of Mathematical Education in Science and Technology (Taylor & Francis) 53 (2022), 1044-1062.  [ESCI, IF-0.9; SJR, 0.630] [Citations: 03]   https://doi.org/10.1080/0020739X.2021.1890846

7.    Ways of Constructing Multiplicative Magic Cubes, Proceedings in Mathematics and Statistics (FIAM 2021) (Springer) 410 (2023), 79-86.   [SJR, 0.204]  [Citations: 0]      https://link.springer.com/book/10.1007/978-981-19-7272-0
8.    Narayana Matrix Sequence, Proceedings of the Jangjeon Mathematical Society 25 (2022), 427-434.  [SJR, 0.29]  [Citations:01] https://jangjeonopen.or.kr/public/upload/1667612272-pjms25-4-7.pdf

9. Solutions of Equations x2−(p2q2±3p)y2=±kt, Examples and Counterexamples (Elsevier) 2 (2022), No. 100043; 1-4. [Citations: 0]    https://doi.org/10.1016/j.exco.2021.100043 


1.    Theorem of Square on the Diagonal in Vedic Geometry and its Application, Indian Journal of History of Science (Indian National Science Academy/ Springer) 31 (1996), 157-166.   [Citations: 06] [ESCI, JCI-0.17]  [UGC Care]

2.    First Degree Indeterminate Analysis in Ancient India and its Application by Virasena, Indian Journal of History of Science (Indian National Science Academy/Springer) 32 (1997), 127-133.  [Citations: 02] [ESCI, JCI-0.17] [UGC Care]  https://insa.nic.in/writereaddata/UpLoadedFiles/IJHS/Vol32_2_3_VMishra.pdf

3.    Wavelet Solutions of Parabolic Equations, Matematika: Malaysian Journal of Industrial and Applied Mathematics (University of Technology Malaysia) 26 (2010), 61-69.      [Citations: 02] [ESCI, JCI-0.032]  https://matematika.utm.my/index.php/matematika/article/view/550/0
4.    Wavelet Solutions and Stability Analysis of Parabolic Equations, Journal of Indonesian Mathematical Society 16 (2010), 69-87.     [Citations: 0] [ESCI, JCI-0.27]   http://dx.doi.org/10.22342/jims.
5.    Computing: A Modern Generalization of Ancient Technique, Indian Journal of History of Science (Indian National Science Academy/Springer) 46 (2011), 49-61. [Citations: 02] [ESCI, JCI-0.17] [UGC Care]

6.    Modified Laplace Adomian Decomposition Method for Solving Nonlinear Volterra Integral and Integro-differential Equations based on Newton-Raphson Formula, European Journal of Pure and Applied Mathematics 11 (2018), 202-214.     [Citations: 29]      [ESCI, IF-0.7]    https://doi.org/10.29020/nybg.ejpam.v11i1.2645
7.    Solutions of Volterra Integral and Integro-Differential Equations using Modified Adomian Decomposition Method, Journal of Applied Mathematics, Statistics and Informatics (University of Saint Cyril and Metodius/ DeGruyter) 15 (2019), 5-18.   [Citations: 23]  [ESCI, IF-0.3]     https://doi.org/10.2478/jamsi-2019-0001

8. Application of Magic Squares in CryptographyProceedings in Adaptation, Learning and Optimization (ICIVC 2021) (Springer) 15 (2022), 321-329.  [Citations: 02]   [WOS (CPCI)]



1.    Height and Distance Problems in Ancient Indian Mathematics, Ganita Bharati (Bulletin of Indian Society for History of Mathematics) 18 (1996), 25-30. [Citations: 02]    http://www.researchgate.net/profile/Vinod_Mishra15
2.    Values of pi from Antiquity to Ramanujan, Sugakushi Kenkyu (Journal of History of Mathematics Society of Japan), 1998, No. 157, 12-25. [Citations: 03]
3.    Incircumscribing Triangles & Cyclic Quadrilaterals in Ancient & Medieval Indian Geometry, Sugakushi Kenkyu (Journal of History of Mathematics Society of Japan), 1999,  No. 161, 1-11. [Citations: 03]
4.    Haar Wavelet Approach to Fluid Flow Between Parallel Plates, International Journal of Fluids Engineering 4 (2011), 403-410.  [Citations: 03]   https://www.ripublication.com/irph/volume/ijfev3n4.htm
5.    Wavelet-Galerkin Finite Difference Solutions of ODEs, The Electronic International Journal-Advanced Modeling and Optimization 13 (2011), 539-549.  [Citations: 05]  https://camo.ici.ro/journal/vol13/v13c13.pdf
6.    Haar Wavelet Quasilinearization Approach for Solving Nonlinear Boundary Value Problems, American Journal of Computational Mathematics 1 (2011), 176-182.  [Citations: 40]    https://doi.org/10.4236/ajcm.2011.13020
7.    Wavelets and the Evaluation of Filter Coefficients, International Journal of Mathematical Archive 2 (2011), 1776-1793.    [Citations: 02]  https://www.ijma.info/index.php/ijma/article/view/603
8.    Wavelet-Galerkin Solutions of One and Two Dimensional Partial Differential Equations, Journal of Emerging Trends in Computing and Information Sciences 3 (2012), 1373-1378. [Citations: 03] 
9.    Haar Wavelet Solutions of Certain Differential, Integral and Integro-differential Equations, International Journal of Applied Mathematics and Mechanics 8 (2012), 69-82.  [Citations: 30]  http://www.researchgate.net/profile/Vinod_Mishra15
10. Haar Wavelet Quasilinearization Approach for Solving Lane Emden Equations, International Journal of Mathematics and Computer Applications Research 2 (2012), 47-60.    [Citations: 07] 

11. Numerical Solution of a Laminar Viscous Flow Boundary Layer Equation using Uniform Haar Wavelet Quasi-linearization Method, World Academy of Science Engineering and Technology 79 (2013), 1410-1415. [Citations: 14]  https://doi.org/10.5281/zenodo.1087368

12. Review of Numerical Inversion of Laplace Transforms using Fourier Analysis, Fast Fourier Transform and Orthogonal Polynomials, Mathematics in Engineering, Science and Aerospace 5 (2014), 239-261.     [Citations: 05]   http://nonlinearstudies.com/index.php/mesa/article/view/1037
13. Chebyshev Polynomial based Numerical Inverse Laplace Transform Solutions of Linear Volterra Integral and Integro-differential Equations, American Research Journal of Mathematics 1 (2015), 22-32.    [Citations: 04] https://www.arjonline.org/papers/arjm/v1-i1/4.pdf

14. Approximation Solution of Boundary Value Problem with Bernstein Polynomial Laplace Decomposition Method, International Journal of Pure and Applied Mathematics 114 (2017), 823-833.                                         [Citations: 05]             https://doi.org/10.12732/ijpam.v114i4.12






I. Fellow Project (Monograph) submitted at IIAS Shimla (2001) by me: History of Mathematics and Mathematical Education with Special Reference to India



(a) History of Mathematics (Ancient, medieval and pre-modern mathematics: Educational perspective and  mathematical extensions & applications) (my own doctoral and post-doctoral research domain)

(b) Wavelet Analysis (Wavelet Galerkin and collocation techniques) (two doctoral dissertations awarded, one continue)

(c) Numerical Simulation (Numerical Laplace transform; finite element technique) (one doctoral dissertation awarded)

(d) Matrix Algebra, Number Theory and Cryptography (Indeterminate analysis & modular forms; Fibonacci & Narayana like sequences; Magic squares & cubes; Cryptography) (two doctoral dissertations continue)

e) Linear Algebra in Data Science and Communication (concept in progress)



1.  Sabina: Wavelet-Galerkin Technique for Solving Certain Numerical Differential Equations and Inverse Ill-posed Problems (Awarded: August 2012)

2. Harpreet Kaur: Haar Wavelet Technique for Solving Differential, Integral and Integro-differential Equations (Awarded: March 2015).
3. Dimple Rani:  Laplace Transform based Numerical Solutions of Certain Differential and Integral Equations (Awarded: December 2020).

4. Ph.D. Continue: Narbda Rani (August 2018), Roji Bala (February 2019) and Drishti Rajput (January 2023)



Barktullah University (Bhopal, 2017), Rastrasant Tukoji Maharaj Nagpur University (Nagpur, 2019), Lovely Professional University (Jalandhar, 2020, 2021 & 2022), GBPUAT (Pantnagar, 2021)


Note: NET/GATE qualified scholars interested for pursuing Ph.D. in MATHEMATICS AND ITS INTERDISCIPLINARY  APPLICATIONS may approach me at email: mishravinod560@gmail.com