Computational technique for solving small delayed singularly perturbed reaction–diffusion problem

Abstract

This article presents a central difference numerical approximation for solving singularly perturbed delay differential equations of reaction–diffusion type. The proposed scheme includes support for higher order convergence on the uniform mesh. The suggested numerical scheme is solved using Thomas Algorithm in MATLAB R2022a. Both theoretical and numerical results of convergence have been shown and found to be consistent with the proposed scheme. The results of theoretical analysis are computed and illustrated by few examples presented in tables and plots. Our findings are compared with already published works and our method found to give a good approximation with less errors for the problem.