Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution

被引：11
|
作者：
Mohapatra J. [1 ]
Natesan S. [1 ]
机构：
[1] Department of Mathematics, Indian Institute of Technology Guwahati
来源：
Journal of Applied Mathematics and Computing | 2011年 / 37卷 / 1-2期
关键词：
Adaptive mesh; Robin BCs; Singularly perturbed boundary value problems; Uniform convergence; Upwind scheme;
D O I：
10.1007/s12190-010-0432-5
中图分类号：
学科分类号：
摘要：
In this paper, we present the analysis of an upwind scheme for obtaining the solution of a convection-diffusion two-point boundary value problem with Robin boundary conditions. The solution is obtained on a suitable nonuniform mesh which is formed by equidistributing the arc-length monitor function. It is shown that the discrete solution obtained by the upwind scheme converges uniformly with respect to the perturbation parameter. Numerical results are presented that demonstrate the sharpness of the theoretical estimates. © 2010 Korean Society for Computational and Applied Mathematics.
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页码：247 / 265
页数：18
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