Ph. D.Research Interests
- NUMERICAL ANALYSIS, PARTIAL & FRACTIONAL
- DIFFERENTIAL EQUATIONS, WAVELET TRANSFORMS.
Awards & Honours
- Tutor Mentoring Team, SAS
- Member, GATE practice Committee
- Convener of Departmental Syllabus revision committee
- Member M. Sc. Mathematics Committee
- 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).
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.