The Difference Methods for the Solution of Singular-Perturbation for the Elliptic-Parabolic Differential Equation

被引：10

作者：

苏煜城 ^{[1
]}

吴启光 ^{[1
]}

机构：

[1] Nanking University

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 1980年 / 02期

关键词：

perturbation; elliptic; parabolic; asymptotic; singular; ordinary; quotient; concerned; degenerate; constants;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper it is discussed the difference method for the solution of singular perturbation pro-blems for the elliptic equations,involving small parameter in the higher derivatives.Asε=0 theoriginal equations are degenerated into the parabolic equations.Authors constructed special difference schemes by means of the boundary layer properties ofthe solutions of these problems as well as investigated the convergence of this scheme and asymptoticbehaviour of the solutions.Finally,a numerical example is given.

引用

页码：175 / 185

页数：11