Publications

Patel, S., Santra, S., & Behera, R. (2025). An efficient hybrid numerical approach for time-fractional sub-diffusion equations with multi-singularities. Numerical Algorithms. https://doi.org/10.1007/s11075-025-02122-9 

Santra, S. (2024). Analysis of a higher-order scheme for multi-term time-fractional integro-partial differential equations with multi-term weakly singular kernels. Numerical Algorithms. https://doi.org/10.1007/s11075-024-01927-4

Santra, S., Behera, R. (2025). 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. https://doi.org/10.1016/j.cnsns.2025.109184

Santra, S., Behera, R. (2024). Simultaneous space–time Hermite wavelet method for time-fractional nonlinear weakly singular integro-partial differential equations. Communications in Nonlinear Science and Numerical Simulation. https://doi.org/10.1016/j.cnsns.2024.108324

Santra, S., & Behera, R. (2025). Enhancing accuracy with an adaptive discretization for the non-local integro-partial differential equations involving initial time singularities. Computers and Mathematics with Applications, 192, 212-239. https://doi.org/10.1016/j.camwa.2025.05.019

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

Mohapatra, J., Santra, S. & Kanaujiya, A. (2025). An Adaptive Mesh Based Computational Approach to the Option Price and Their Greeks in Time Fractional Black–Scholes Framework. Differential Equations and Dynamical Systems. https://doi.org/10.1007/s12591-025-00708-2

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. (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