THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (1): 35-44.

THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION

林鹏程, 郭雯

Fuzhou University, Fuzhou

收稿日期:1987-06-03 出版日期:1989-01-18 发布日期:1989-01-18

THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION

Lin Peng-cheng, Guo Wen

Fuzhou University, Fuzhou

Received:1987-06-03 Online:1989-01-18 Published:1989-01-18

摘要/Abstract

摘要： In this paper, we construct a class of difference schemes with fitted factors for a singular perturbation problem of a self-adjoint ordinary differential equation. Using a different method from [1], by analyzing the truncation errors of schemes, we give the sufficient conditions under which the solution of lite difference scheme converges uniformly to the solution of the differential equation. From this we propose several specific schemes under weaker conditions, and give much higher order of uniform convergence, and applying them to example, obtain the numerical results.

Abstract: In this paper, we construct a class of difference schemes with fitted factors for a singular perturbation problem of a self-adjoint ordinary differential equation. Using a different method from [1], by analyzing the truncation errors of schemes, we give the sufficient conditions under which the solution of lite difference scheme converges uniformly to the solution of the differential equation. From this we propose several specific schemes under weaker conditions, and give much higher order of uniform convergence, and applying them to example, obtain the numerical results.

林鹏程;郭雯. THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1989, 10(1): 35-44.

Lin Peng-cheng;Guo Wen. THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1989, 10(1): 35-44.

THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION

THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION

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