Santra, Sudarshan, and Behera, Ratikanta. "Enhancing accuracy with an adaptive discretization for the non-local integro-partial differential equations involving initial time singularities." Computers & Mathematics with Applications 192 (2025): 212-239. DOI: 10.1016/j.camwa.2025.05.019 (Q1, SCIE, MCQ - 0.92, I.F. - 2.5)
Mohapatra, Jugal, Santra, Sudarshan, and Ankur Kanaujiya. "An Adaptive Mesh Based Computational Approach to the Option Price and Their Greeks in Time Fractional Black–Scholes Framework." Differential Equations and Dynamical Systems (2025): 1-22. DOI: 10.1007/s12591-025-00708-2 (Q3, Scopus, I.F. - 0.9)
2024
Santra, Sudarshan. "Analysis of a higher-order scheme for multi-term time-fractional integro-partial differential equations with multi-term weakly singular kernels." Numerical Algorithms 99(2024): 1649-1695. DOI: 10.1007/s11075-024-01927-4 (Q1, SCIE, MCQ - 1.18, I.F. - 2.2)
Santra, Sudarshan, and Behera, Ratikanta. "Simultaneous space–time Hermite wavelet method for time-fractional nonlinear weakly singular integro-partial differential equations." Communications in Nonlinear Science and Numerical Simulation 140 (2024): 108324. DOI: 10.1016/j.cnsns.2024.108324 (Q1, SCIE, MCQ - 0.54, I.F. - 3.8)
Mohapatra, Jugal, Santra, Sudarshan, and Ramos, Higinio. "Analytical and numerical solution for the time fractional Black-Scholes model under jump-diffusion." Computational Economics 63.5 (2024): 1853-1878. DOI: 10.1007/s10614-023-10386-3 (Q2, SCIE, MCQ - 0.21, I.F. - 2.1)
2023
Santra, Sudarshan, Mohapatra, Jugal, Das, Pratibhamoy, and Choudhuri, Debajyoti. "Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis." Computers & Mathematics with Applications 150 (2023): 87-101. DOI: 10.1016/j.camwa.2023.09.008 (Q1, SCIE, MCQ - 0.92, I.F. - 2.5)
Santra, Sudarshan, and Mohapatra, Jugal. "Numerical simulation and convergence analysis for Riemann-Liouville fractional initial value problem involving weak singularity." International Journal of Computing Science and Mathematics 18.4 (2023): 340-349. DOI: 10.1504/IJCSM.2023.135045 (Q4, Scopus, I.F. - 0.6)
2022
Santra, Sudarshan, and Mohapatra, Jugal. "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 (2022): 6677-6690. DOI: 10.1002/mma.8199 (Q1, SCIE, MCQ - 0.63, I.F. - 1.8)
Santra, Sudarshan, and Mohapatra, Jugal. "Numerical treatment of multi-term time fractional nonlinear KdV equations with weakly singular solutions." International Journal of Modelling and Simulation 43.1 (2023): 23-33. DOI: 10.1080/02286203.2022.2030629 (Q2, Scopus, I.F. - 3.1)
Santra, Sudarshan, and Mohapatra, Jugal. "An efficient computational approach for the solution of time-space fractional diffusion equation." International Journal of Modelling and Simulation 43.4 (2023): 393-405. DOI: 10.1080/02286203.2022.2085976 (Q2, Scopus, I.F. - 3.1)
2021
Santra, Sudarshan, and Mohapatra, Jugal. "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 (2022): 113746. DOI: 10.1016/j.cam.2021.113746 (Q2, SCIE, MCQ - 0.84, I.F. - 2.6)
Santra, Sudarshan, Panda, Abhilipsa, and Mohapatra, Jugal. "A novel approach for solving multi-term time fractional Volterra–Fredholm partial integro-differential equations." Journal of Applied Mathematics and Computing 68.5 (2022): 3545-3563. DOI: 10.1007/s12190-021-01675-x (Q2, SCIE, MCQ - 0.74, I.F. - 2.5)
Santra, Sudarshan, and Mohapatra, Jugal. "Numerical analysis of Volterra integro-differential equations with Caputo fractional derivative." Iranian Journal of Science and Technology, Transactions A: Science 45.5 (2021): 1815-1824. DOI: 10.1007/s40995-021-01180-7 (Q2, SCIE, MCQ - 0.16, I.F. - 1.4)
Panda, Abhilipsa, Santra, Sudarshan, and Mohapatra, Jugal. "Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations." Journal of Applied Mathematics and Computing 68.3 (2022): 2065-2082. DOI: 10.1007/s12190-021-01613-x (Q2, SCIE, MCQ - 0.74, I.F. - 2.5)
2020
Santra, Sudarshan, and Mophapatra, Jugal. "Analysis of the L1 scheme for a time fractional parabolic–elliptic problem involving weak singularity." Mathematical Methods in the Applied Sciences 44.2 (2021): 1529-1541. DOI: 10.1002/mma.6850 (Q1, SCIE, MCQ - 0.63, I.F. - 1.8)
Sabawi, Younis A., Santra, Sudarshan, Das, Pratibhamoy, and Mohammad, Najem A. $H^1$ Stability and convergence analysis of the L1/L1-2 Legendre spectral method for non-local weakly singular integro-PDEs.
Santra, Sudarshan, Das, Pratibhamoy, and Jorgensen, Palle. A unified multifaceted space-time wavelet framework and its singularity analysis for weakly singular non-local partial integro-differential equations in high dimensions.
Santra, Sudarshan, and Behera, Ratikanta. Wavelet-based L2-1σ approach for time-fractional option pricing model under jump-diffusion.
Books/Chapters
Mohapatra, Jugal, and Santra, Sudarshan. "Numerical simulation for time fractional integro partial differential equations arising in viscoelastic dynamical system." Mathematical Methods in Dynamical Systems. Chapter 8, CRC Press, 2023. 213-238. DOI: 10.1201/9781003328032