A. Chand and J. Mohapatra,"An analytical and numerical approach for the 1+1dimensional nonlinear Kolmogorov- Petrovskii-Piskunov equation", Iranian Journal of Numerical Analysis and Optimization, Ferdowsi University of Mashhad, October 2024, 10.22067/IJNAO.2024.87965.1442       Article

G. Saini, B. Ghosh, and J. Mohapatra,"An iterative-based difference scheme for nonlinear fractional integro-differential equations of Volterra type", Partial Differential Equations in Applied Mathematics, Elsevier, December 2024, 10.1016/j.padiff.2025.101138       Article

J. Mohapatra, S. Santra, and A. 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, Springer, November 2024, 10.1007/s12591-025-00708-2       Article

J. Mohapatra, S. P. Mohapatra, and A. Nath,"An approximation technique for a system of time-fractional differential equations arising in population dynamics", Journal of Mathematical Modeling, University of Guilan, November 2024, 10.22124/jmm.2025.28718.2548       Article

A. Panda, B. Ghosh, and J. Mohapatra,"Efficient numerical techniques for fractional integro-differential equations with weakly singular kernel", Physica Scripta, vol.100, no.1, IOP Publishing 2024, 10.1088/1402-4896/ad94b5       Article

J. Mohapatra, L. G. Rao, and S. Priyadarshana,"A splitting based higher-order numerical scheme for 2D time-dependent singularly perturbed reaction-diffusion problems", The Journal of Supercomputing, Springer, November 2024, 10.1007/s11227-024-06479-x       Article

S. Priyadarshana and J. Mohapatra,"Weighted variable based numerical scheme for time-lagged semilinear parabolic problems including small parameter", Journal of Applied Mathematics and Computing, Springer, January 2023, 10.1007/s12190-023-01841-3       Article

S. Santra and J. Mohapatra,"Numerical treatment of multi-term time fractional nonlinear KdV equations with weakly singular solutions", International Journal of Modelling and Simulation, vol.43, no.1, pp.23-33, Taylor and Francis, January 2023, 10.1080/02286203.2022.2030629       Article

B. Ghosh and J. Mohapatra,"Analysis of finite difference schemes for Volterra integro-differential equations involving arbitrary order derivatives", Journal of Applied Mathematics and Computing, vol.69, pp.1865–1886, Springer, April 2023, https://doi.org/10.1007/s12190-022-01817-9       Article

S. Priyadarshana, J. Mohapatra, and S. R. Pattanaik,"A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems", Applied Numerical Mathematics, vol.189, pp.107-129, Science Direct 2023, 10.1016/j.apnum.2023.04.002       Article