A higher-order finite difference method for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem. - K. Aarthika; Ram Shiromani; Vembu Shanthi (Comput. Math. Appl., 2022)

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. - Ram Shiromani; Vembu Shanthi; Pratibhamoy Das (Comput. Math. Appl., 2023)

A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers. - Ram Shiromani; Vembu Shanthi; Higinio Ramos (Math. Comput. Simul., 2023)

Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions. - Carmelo Clavero; Ram Shiromani; Vembu Shanthi (Comput. Math. Appl., 2023)

A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term. - Ram Shiromani; Niall Madden; Vembu Shanthi (CoRR, 2024)

A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. - Carmelo Clavero; Ram Shiromani; Vembu Shanthi (J. Comput. Appl. Math., 2024)

An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms. - Carmelo Clavero; Ram Shiromani (Comput. Math. Appl., 2025)