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.
Singular perturbation equation finite difference method Bakhvalov-Shishkin mesh uniform convergence integral conditions
Primary Language | English |
---|---|
Subjects | Engineering |
Journal Section | Articles |
Authors | |
Early Pub Date | December 23, 2022 |
Publication Date | December 30, 2022 |
Published in Issue | Year 2022 Volume: 14 Issue: 2 |