Numerical Simulation for Singularly Perturbed Problem with Two Nonlocal Boundary Conditions

Authors : Derya ARSLAN, Musa ÇAKIR

Pages : 235-247

Doi:10.47000/tjmcs.862848

View : 20 | Download : 34

Publication Date : 2022-12-30

Article Type : Research Paper

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