A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition

被引：20
作者：
Kudu, Mustafa
机构：
[1] Department of Mathematics, Faculty of Arts and Sciences, Erzincan University, Erzincan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
Singular perturbation; Finite difference scheme; Uniform convergence; Parameterized problem; Bakhvalov mesh; Integral boundary condition; NUMERICAL-SOLUTION; MESHES;
D O I：
10.1186/s13662-018-1620-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear first order parameterized singularly perturbed problem with integral boundary conditions. Uniform first order error estimates in the discrete maximum norm have been established. Numerical results that demonstrate the sharpness of our theoretical analysis are presented.
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页数：12
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