%0 Journal Article
%T A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Arslan, Derya
%D 2020
%\ 04/01/2020
%V 8
%N 2
%P 236-250
%! A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition
%K Singular perturbation
%K finite difference scheme
%K Bakhvalov mesh
%K Uniformly convergence
%K multipoint boundary conditions
%R 10.22034/cmde.2020.34380.1572
%X We consider finite difference method to find best approximation of nonlinear singularly perturbed problem which contains multi-point boundary conditions. We surveyed the asymptotic estimates of the corresponding problem that needs to be solved with maximum principle. We constructed a finite difference scheme by using Bakhvalov mesh. Based on the error estimation, we proved that this method was first-order, uniformly convergent method with in the discrete maximum norm. Finally, we conducted a numerical experiment in order to check the theoretical results
%U https://cmde.tabrizu.ac.ir/article_9943_0ce50ee35937c2ef12fbccf649d18e25.pdf