Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition

Authors

MUHAMMET ENES DURMAZ
GABİL AMİRALİ
MUSTAFA KUDU

Abstract

In this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh. The stability and convergence of the difference scheme have been analyzed in the discrete maximum norm. Some numerical examples have been solved and numerical outcomes are obtained.

DOI

10.3906/mat-2109-11

Keywords

Fredholm integro differential equation, singular perturbation, finite difference methods, Shishkin mesh, uniform convergence

First Page

207

Last Page

224

Recommended Citation

DURMAZ, MUHAMMET ENES; AMİRALİ, GABİL; and KUDU, MUSTAFA (2022) "Numerical solution of a singularly perturbed Fredholm integro differential equation with Robin boundary condition," Turkish Journal of Mathematics: Vol. 46: No. 1, Article 16. https://doi.org/10.3906/mat-2109-11
Available at: https://journals.tubitak.gov.tr/math/vol46/iss1/16