A SECOND ORDER UNIFORM DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (2): 143-147.

A SECOND ORDER UNIFORM DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM

孙晓弟

Nanjing University, Nanjing

收稿日期:1990-07-02 出版日期:1992-02-18 发布日期:1992-02-18

A SECOND ORDER UNIFORM DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM

Sun Xiao-di

Nanjing University, Nanjing

Received:1990-07-02 Online:1992-02-18 Published:1992-02-18

摘要/Abstract

摘要： We construct a positive type difference scheme for a singularly perturbed boundary value problem with a turning point.It’s proved that this scheme is the second order convergence, uniformly in ε, to the solution of the singularly perturbed B.V.P.Numerical examples are provided.

关键词: singularly perturbed problem, turning point, difference method, positive type difference scheme

Abstract: We construct a positive type difference scheme for a singularly perturbed boundary value problem with a turning point.It’s proved that this scheme is the second order convergence, uniformly in ε, to the solution of the singularly perturbed B.V.P.Numerical examples are provided.

Key words: singularly perturbed problem, turning point, difference method, positive type difference scheme

孙晓弟. A SECOND ORDER UNIFORM DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(2): 143-147.

Sun Xiao-di. A SECOND ORDER UNIFORM DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(2): 143-147.

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A SECOND ORDER UNIFORM DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED TURNING POINT PROBLEM

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