- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 2
- Numerical Simulation for Singularly Perturbed Problem with Two Nonlocal Boundary Conditions
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 : 5 | Download : 26
Publication Date : 2022-12-30
Article Type : Research
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