Uniform Second-Order Difference Method for a Singularly Perturbed Three-Point Boundary Value Problem

被引：0

作者：

Musa Çakır

机构：

[1] Yüzüncü Yil University,Department of Mathematics, Faculty of Sciences

来源：

Advances in Difference Equations | / 2010卷

关键词：

Finite Difference Scheme; Mesh Point; Mesh Function; Liquid Crystal Material; Shishkin Mesh;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a singularly perturbed one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. The monotone operator is combined with the piecewise uniform Shishkin-type meshes. We show that the scheme is second-order convergent, in the discrete maximum norm, independently of the perturbation parameter except for a logarithmic factor. Numerical examples support the theoretical results.

引用

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