具有非局部边界的奇异摄动问题的数值解

G. M. 艾米雷利耶弗; M. 扎克耳; 何吉欢

具有非局部边界的奇异摄动问题的数值解

YY大学数学系, 土耳其, 65080

详细信息

作者简介:
G. M. 艾米雷利耶弗,E-mail:gamirali2000@yahoo.com.

中图分类号: O175.1;O241.81
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出版历程
- 收稿日期: 2001-09-10
- 刊出日期: 2002-07-15

Numerical Solution of the Singularly Perturbed Problem With Nonlocal Boundary Condition

Department of Mathematics, Y Y University, 65080 Van, Turkey

摘要

摘要: 研究了具有非局部边界的奇异摄动问题。对于正的小摄动参数,其解显示出边界层特性。为了求解该问题,构造了非等距网格上的指数型有限差分。还给出了小参数时的一致收敛性分析,同时给出了一个数值例子。
- 指数型差分格式 /
- 奇异摄动 /
- 非局部边界条件
Abstract: Singularly perturbed boundary value problem with nonlocal conditions is examined. The appopriate solution exhibits boundary layer behavior for small positive values of the perturbative parameter. An exponentially fitted finite difference scheme on a non-equidistant mesh is constructed for solving this problem. The uniform convergence analysis in small parameter is given. Numerical example is provided, too.
- exponentially fitted difference scheme /
- singular perturbation /
- nonlocal boundary condition

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参考文献(25)

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