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Numerical Simulation for Singularly Perturbed Problem With Two Nonlocal Boundary Conditions

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Date

2022

Journal Title

Journal ISSN

Volume Title

Publisher

Association of Mathematicians (MATDER)

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. © MatDer.

Description

Keywords

Bakhvalov-Shishkin Mesh, Finite Difference Method, Integral Conditions, Singular Perturbation Equation, Uniform Convergence

Turkish CoHE Thesis Center URL

WoS Q

N/A

Scopus Q

N/A

Source

Turkish Journal of Mathematics and Computer Science

Volume

14

Issue

2

Start Page

235

End Page

247