Numerical Simulation for Singularly Perturbed Problem with Two Nonlocal Boundary Conditions

Year 2022, , 235 - 247, 30.12.2022

Derya Arslan , Musa Çakır

https://doi.org/10.47000/tjmcs.862848

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.

Keywords

Singular perturbation equation, finite difference method, Bakhvalov-Shishkin mesh, uniform convergence, integral conditions

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