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Sudarshan Santra

Assistant Professor, Department of Mathematics

Fractional ODEs/PDEs/Integro-PDEs, Numerical Analysis, Physics-Informed Neural Networks (PINNs), Wavelets in Scientific Computing
Department of Mathematics
Birla Institute of Technology & Science, Pilani - 333031,
Rajasthan, India. (Office 2223-C, FD II)
Sudarshan_Santra_BITS_Pilani

Articles Published in International Journals (SCI/SCIE/SCOPUS)

Total Publication: 17        Google Scholar Citations: 325        h-index: 10        i10-index: 10

2025

  • Santra, Sudarshan, and Behera, Ratikanta. "Physics-informed fractional machine intelligence and space-time wavelet frameworks for non-local integro-partial differential equations involving weak singularities." Communications in Nonlinear Science and Numerical Simulation 152 (2025). DOI: 10.1016/j.cnsns.2025.109184 (Q1, SCIE, MCQ - 0.54, I.F. - 3.8)
  • Patel, Subham, Santra, Sudarshan, and Behera, Ratikanta. "An efficient hybrid numerical approach for time-fractional sub-diffusion equations with multi-singularities." Numerical Algorithms (2025): 1-38. DOI: 10.1007/s11075-025-02122-9 (Q1, SCIE, MCQ - 1.18, I.F. - 2.2)
  • 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)

Articles Communicated/Under Preparation

  • Santra, Sudarshan, Pandey, Himanshu, and Behera, Ratikanta. Advanced physics-informed neural networks for multi-term time-fractional parametrized integro-partial differential equations involving weakly singular kernels.
  • 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