Numerical Simulation for Singularly Perturbed Problem with Two Nonlocal Boundary Conditions-Reference-Cited by-同舟云学术

Numerical Simulation for Singularly Perturbed Problem with Two Nonlocal Boundary Conditions

Published:2022-06-12 Issue: Volume: Page:
ISSN:2148-1830
Container-title:Turkish Journal of Mathematics and Computer Science
language:en
Short-container-title:TJMCS

Author:

ARSLAN Derya¹^ORCID,ÇAKIR Musa²

Affiliation:

1. BİTLİS EREN ÜNİVERSİTESİ

2. VAN YÜZÜNCÜ YIL ÜNİVERSİTESİ

Abstract

In this paper, numerical solution for singularly perturbed problem with nonlocal boundary conditions is obtained. Finite difference method is used to discretize this problem on the Bakhvalov-Shishkin mesh. The some properties of exact solution are analyzed. The error is obtained first-order in the discrete maximum norm. Finally, an example is solved to show the advantages of the finite difference method.

Publisher

Turkish Journal of Mathematics and Computer Science, Association of Mathematicians

Subject

General Medicine

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