Arun Kumar Gupta
Assistant Professor
Arun Kumar Gupta is currently an Assistant Professor at the Department of Mathematics, in the School of Applied Sciences at KIIT Deemed to be University, Bhubaneswar, Odisha, India. Dr. A. K. Gupta completed his Ph. D. in Mathematics in the year 2017 from National Institute of Technology Rourkela, Odisha, India. He received his M. Sc. degree in Mathematics in 2011. He has more than five years of teaching experience at undergraduate and post-graduate level. He also has about Eight years of research experience in various fields of Applied Mathematics. His interest areas include numerical analysis, fractional calculus, partial differential equations, mathematical modelling, and wavelet transform methods. He authored a book entitled, “Wavelet Methods for solving Partial Differential Equations and Fractional Differential Equations” published by the CRC Press of the Taylor & Francis group. He has presented papers at various national and international conferences and has published several research articles in various international journal with high repute. He is currently supervising Ph. D. Scholars working on Partial and Fractional Differential Equations, Numerical Analysis and Wavelet transform methods.
Profile Links
Email :
[email protected]
Scopus Id :
42261511900
Google Scholar :
https://scholar.google.com/citations?user=mvCqz-UAAAAJ&hl=en
Social Links
Ph. D.
Research Interests
- NUMERICAL ANALYSIS, PARTIAL & FRACTIONAL
- DIFFERENTIAL EQUATIONS, WAVELET TRANSFORMS.
Administrative Responsibility
- Tutor Mentoring Team, SAS
- Member, GATE practice Committee
- Convener of Departmental Syllabus revision committee
- Member M. Sc. Mathematics Committee
Awards & Honours
- 2017- Recipient of the NBHM post-doctoral fellowship (Not avail)
- 2013- Qualified all India Graduate Aptitude Test in Engineering (GATE)
A. K. Gupta and J. Hazarika, 2020. “On the Solitary Wave Solutions of modified Benjamin-Bona-Mahony Equation for Unidirectional Propagation of Long Waves” PRAMANA- Journal of Physics, Vol. 94 (134), pp. 1-8.
A. K. Gupta, 2019. “On the Exact Solution of time-fractional (2+1) dimensional Konoplechenko-Dubrovsky Equation” International Journal of Applied and Computational Mathematics, Vol. 5, DOI: https://doi.org/10.1007/s40819-019-0678-z.
A. K. Gupta and S. Saha Ray, 2019. “The Petrov-Galerkin Finite Element Method for the Numerical Solution of time-Fractional Sharma-Tasso-Olver Equation” International Journal of Modeling, Simulation, and Scientific Computing, Vol. 10, No. 1, pp. 1941007(1-11).
A. K. Gupta and S. Saha Ray, 2018. “On the solution of time-fractional KdV-Burgers equation using Petrov-Galerkin method for propagation of long wave in shallow water”, Chaos, Solitons and Fractals, Vol. 116, pp. 376-380.
A. K. Gupta and S. Saha Ray, 2017. “Comparison between Two Reliable Methods for Accurate Solution of Fractional Modified Fornberg-Whitham Equation Arising in Water Waves”, Journal of Computational and Nonlinear Dynamics, Vol. 12 (4), pp. 041004(1-10).
S. Saha Ray and A. K. Gupta, 2017. “Two-dimensional Legendre Wavelet Method for Traveling Wave Solutions of Time-Fractional Generalized Seventh order KdV Equation”, Computers and Mathematics with Applications, Vol. 73 (6), pp. 1118-1133.
A. K. Gupta and S. Saha Ray, 2017. “On the Solitary Wave Solution of Fractional Kudryashov-Sinelshchikov Equation Describing Nonlinear Wave Processes in a Liquid Containing Gas Bubbles”, Applied Mathematics and Computation, Vol. 298, pp. 1-12.
A. K. Gupta and S. Saha Ray, 2015. “An investigation with Hermite Wavelets for accurate solution of Fractional Jaulent-Miodek Equation associated with energy-dependent Schrödinger potential”, Applied Mathematics and Computation, Vol. 270, pp. 458-471.
A. K. Gupta and S. Saha Ray, 2015, “Numerical treatment for the solution of Fractional Fifth Order Sawada-Kotera Equation using Second Kind Chebyshev Wavelet Method”, Applied Mathematical Modelling, Vol. 39, pp. 5121–5130.
A. K. Gupta and S. Saha Ray, 2014 “Travelling Wave Solution of Fractional KdV-Burger-Kuramoto Equation Describing Nonlinear Physical Phenomena”, AIP Advances, Vol. 4, pp. 097120(1-11).
Books :
S. Saha Ray and A. K. Gupta, 2018, “Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations”, CRC Press (Taylor and Francis Group), Boca Raton, Florida, ISBN: 978-1-138-05381-6.