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

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

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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 ? , to the solution of the singularly perturbed B. V.P. Numerical examples are provided. 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 ? , to the solution of the singularly perturbed B. V.P. Numerical examples are provided.

作者孙晓弟

机构地区 Nanjing University

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第2期143-147,共5页 应用数学和力学（英文版）

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

分类号 O3，O1 [理学—力学]

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8肖成猷.TURNING　POINT　PROBLEMS　FOR　THE　THIRD　ORDER　DIFFERENTIAL　EQUATIONS　EXHIBITING　RESONANCE[J].Acta Mathematicae Applicatae Sinica,1995,11(2):206-213. 被引量：2
9张居铃.A COMPLETE EXPRESSION OF THE ASYMPTOTIC SOLUTION OF DIFFERENTIAL EQUATION WITH A∩-TH ORDER TURNING POINT[J].Applied Mathematics and Mechanics(English Edition),1994,15(1):81-91.
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Applied Mathematics and Mechanics(English Edition)

1992年第2期

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

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