Efficient Adaptive Numerical Technique for Singularly Perturbed Reaction-Diffusion problem

Abstract

In the proposed work, an efficient numerical strategy has been developed for solving a singularly perturbed reaction-diffusion problem (SPRDP). Shishkin mesh has been considered for tackling the boundary layers arising in the solution. Domain discretization has been carried out using Galerkin finite element method. To demonstrate the effectivity of proposed numerical scheme, numerical experiments have been carried out which shows that sharp boundary layers appear in the solution as singular perturbation parameter