Turkish Journal of Mathematics and Computer Science

Yazarlar: ["Derya ARSLAN", "Musa ÇAKIR"]

Konular:-

DOI:10.47000/tjmcs.862848

Anahtar Kelimeler:Singular perturbation equation,Finite difference method,Bakhvalov-Shishkin mesh,Uniform convergence,Integral conditions

Özet: 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.

---