Publications

Santra, S., Mohapatra, J., Das, P., & Choudhuri, D. (2023). Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis. Computers and Mathematics with Applications, 150, 87-101. https://doi.org/10.1016/j.camwa.2023.09.008

Santra, S., & Mohapatra, J. (2022). A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type. Journal of Computational and Applied Mathematics, 400. https://doi.org/10.1016/j.cam.2021.113746

Santra, S., & Mohapatra, J. (2022). Analysis of a finite difference method based on $L1$ discretization for solving multi-term fractional differential equation involving weak singularity. Mathematical Methods in the Applied Sciences, 45(11), 6677–6690. https://doi.org/10.1002/mma.8199

Santra, S., & Mohapatra, J. (2021). Analysis of the $L1$ scheme for a time fractional parabolic-elliptic problem involving weak singularity. Mathematical Methods in the Applied Sciences, 44(2), 1529–1541. https://doi.org/10.1002/mma.6850

Santra, S., Panda, A., & Mohapatra, J. (2022). A novel approach for solving multi-term time fractional Volterra-Fredholm partial integro-differential equations. Journal of Applied Mathematics and Computing, 68(5), 3545–3563. https://doi.org/10.1007/s12190-021-01675-x

Panda, A., Santra, S., & Mohapatra, J. (2022). Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations. Journal of Applied Mathematics and Computing, 68(3), 2065–2082. https://doi.org/10.1007/s12190-021-01613-x

Mohapatra, J., Santra, S., & Ramos, H. (2023). Analytical and numerical solution for the time fractional Black-Scholes model under jump-diffusion. Computational Economics. https://doi.org/10.1007/s10614-023-10386-3

Santra, S., & Mohapatra, J. (2023). Numerical treatment of multi-term time fractional nonlinear KdV equations with weakly singular solutions. International Journal of Modelling and Simulation, 43(1), 23–33. https://doi.org/10.1080/02286203.2022.2030629

Santra, S., & Mohapatra, J. (2022). An efficient computational approach for the solution of time-space fractional diffusion equation. International Journal of Modelling and Simulation. https://doi.org/10.1080/02286203.2022.2085976

Santra, S., & Mohapatra, J. (2021). Numerical analysis of Volterra integro-differential equations with Caputo fractional derivative. Iranian Journal of Science and Technology, Transactions A: Science, 45(5), 1815–1824. https://doi.org/10.1007/s40995-021-01180-7

Santra, S., & Mohapatra, J. (2023). Numerical simulation and convergence analysis for Riemann-Liouville fractional initial value problem involving weak singularity. International Journal of Computing Science and Mathematics, 18(4), 340–349. https://doi.org/10.1504/IJCSM.2023.135045

Mohapatra, J., Santra, S., & Kanaujiya, A. A computational approach to the option price and their Greeks in time fractional Black-Scholes framework. (Communicated)
Santra, S., & Behera, R. A novel higher-order numerical method for parabolic integro-fractional differential equations based on wavelets and L2-1σ scheme. https://doi.org/10.48550/arXiv.2304.08009 (Communicated)
Santra, S., & Behera, R. Multi-dimensional wavelet-based numerical methods for a class of higher-order integro-fractional differential equations with error analysis (Communicated)
Santra, S., & Behera, R. Wavelet-based L2-1σ approach for time-fractional option pricing model under jump-diffusion (Communicated)

Mohapatra, J., & Santra S. (2023). Numerical simulation for time fractional integro partial differential equations arising in viscoelastic dynamical system. Mathematical methods in dynamical systems, CRC Press, Taylor & Francis Group https://doi.org/10.1201/9781003328032-8

Publication Analyses