On the quasilinear boundary-layer problem and its numerical solution

被引：5
|
作者：
Vulanovic, Relja [1 ]
Teofanov, Ljiljana [2 ]
机构：
[1] Kent State Univ Stark, Dept Math Sci, North Canton, OH 44720 USA
[2] Univ Novi Sad, Dept Fundamental Disciplines, Fac Tech Sci, Novi Sad 21000, Serbia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 268卷
关键词：
Singular perturbation; Boundary-value problem; Shishkin mesh; Finite differences; Uniform convergence; DIFFUSION PROBLEMS; SMALL-PARAMETER; TURNING-POINTS; MESHES; CONVERGENCE; RESPECT; SCHEME;
D O I：
10.1016/j.cam.2014.02.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain improved derivative estimates for the solution of the quasilinear singularly perturbed boundary-value problem. This enables us to modify the transition point between the fine and coarse parts of the Shishkin discretization mesh. The resulting mesh may be denser in the layer than the standard Shishkin mesh. When this is the case, numerical experiments show an improvement in the accuracy of the computed solution. (C) 2014 Elsevier B.V. All rights reserved.
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页码：56 / 67
页数：12
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