Richardson extrapolation for a singularly perturbed turning point problem with exponential boundary layers

被引：19

作者：

Becher, S. ^{[1
]}

Roos, H. -G. ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 290卷

关键词：

Singularly perturbed turning point problem; Boundary layer; Upwind scheme; Richardson extrapolation; Shishkin mesh; Error expansion; CONVECTION-DIFFUSION PROBLEM; NUMERICAL-METHOD;

D O I：

10.1016/j.cam.2015.05.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an interior turning point problem with two exponential boundary layers. Its discretisation on a piecewise-uniform Shishkin mesh yields a scheme which is uniformly convergent (measured in the discrete maximum norm) of almost order one. Richardson extrapolation improves the accuracy to O(N-2 In-2 N). Both can be proved under the assumption epsilon <= CN-1. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：334 / 351

页数：18

共 16 条

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[2]

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[3]

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[4]

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