Publications

2025

  1. C. Clavero and R. Shiromani, An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms, Computers & Mathematics with Applications, 181, 287-322.

2024

  1. R. Shiromani, C. Clavero and V. Shanthi, A computational approach for 2D elliptic singularly perturbed weakly-coupled systems of convection-diffusion type with multiple scales and parameters in the diffusion and the convection terms, Mathematical Methods in the Applied Sciences, 47(18), 13510-13541. 
  2. R. Shiromani and C. Clavero, An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms, part II, AIMS Mathematics, 9(12), 35570-35598.
  3. R. Shiromani, V. Shanthi and H. Ramos, Numerical Treatment of a Two‑Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms, Differential Equations and Dynamical Systems, 1-29.

2023

  1.  R. Shiromani, V. Shanthi and H. Ramos, A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers, Mathematics and Computers in Simulation, 206, 40-64.
  2. R. Shiromani, V. Shanthi and J. Vigo-Aguiar, A finite difference method for a singularly perturbed 2-D elliptic convection-diffusion PDEs on Shishkin-type meshes with non-smooth convection and source terms, Mathematical Methods in the Applied Sciences, 46(5), 5915-5936.
  3. R. Shiromani, V. Shanthi and H. Ramos, Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions, Applied Numerical Mathematics, 187, 176-191.
  4. C. Clavero, R. Shiromani and V. Shanthi, Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions, Computers & Mathematics with Applications, 140, 1-16.
  5. C. Clavero, R. Shiromani and V. Shanthi, A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection–reaction–diffusion PDEs, Journal of Computational and Applied Mathematics, 436, 115422.
  6. R. Shiromani, V. Shanthi and P. Das, A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms, Computers & Mathematics with Applications, 142, 9-30.

2022

  1. K. Aarthika, R. Shiromani and V. Shanthi, A higher-order finite difference method for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem, Computers & Mathematics with Applications, 118, 56-73.