The Difference Method for the Solution of Singular-Perturbation Problems for the Elliptic-Parabolic Partial Differential Equation

Su Yu-cheng; Wu Chi-kuang

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Article Navigation > Applied Mathematics and Mechanics > 1980 > 1(2): 167-176

Su Yu-cheng, Wu Chi-kuang. The Difference Method for the Solution of Singular-Perturbation Problems for the Elliptic-Parabolic Partial Differential Equation[J]. Applied Mathematics and Mechanics, 1980, 1(2): 167-176.

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The Difference Method for the Solution of Singular-Perturbation Problems for the Elliptic-Parabolic Partial Differential Equation

Nanking University

Received Date: 1979-12-26
Publish Date: 1980-04-15

Abstract

Abstract

In this paper is discussed the difference method for the solution of singular perturbation problems for the elliptic equations,involving small parameter in the higher derivatives,As ε=0,the original equations are degenerated into the parabalic equations.Authors constructed special difference scheme by means of the boundary layer properties of the solutions of these problems and investigated the convergence of this scheme and asymptotic behaviour of the solutions,Finally,a numerical example is given.

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