An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation-Reference-Cited by-同舟云学术

An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation

Published:2022-12-31 Issue: Volume: Page:1-14
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
language:en
Short-container-title:

Author:

DURMAZ Muhammet Enes¹,YAPMAN Ömer²,KUDU Mustafa²,AMİRALİ Gabil²

Affiliation:

1. KIRKLARELİ ÜNİVERSİTESİ

2. ERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ

Abstract

The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. The finite difference scheme is constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. The recommended method is second order convergent in the discrete maximum norm. Numerical results illustrating the preciseness and computationally attractiveness of the proposed method are presented.

Publisher

Hacettepe University

Subject

Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis

Reference29 articles.

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