Uniformly convergent finite difference method for reaction-diffusion type third order singularly perturbed delay differential equation

Authors

RAJENDRAN MAHENDRAN
VEERASAMY SUBBURAYAN

DOI

10.3906/mat-2104-56

Abstract

A class of third order reaction-diffusion type singularly perturbed ordinary delay differential equations is considered in this article. A fitted finite difference method on Shishkin mesh is suggested to solve the problem. Moreover, we present a class of nonlinear problems. An error estimation is obtained based on the maximum norm and it is of almost first order convergence. Numerical results are given to support theoretical claims.

Keywords

Third order differential equations, singularly perturbed problem, reaction-diffusion, Shishkin mesh

First Page

360

Last Page

376

Recommended Citation

MAHENDRAN, RAJENDRAN and SUBBURAYAN, VEERASAMY (2022) "Uniformly convergent finite difference method for reaction-diffusion type third order singularly perturbed delay differential equation," Turkish Journal of Mathematics: Vol. 46: No. 2, Article 2. https://doi.org/10.3906/mat-2104-56
Available at: https://journals.tubitak.gov.tr/math/vol46/iss2/2