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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (2): 187-195.

• 论文 • 上一篇    

A UNIFORMLY DIFFERENCE SCHEME OF SINGULAR PERTURBATION PROBLEM FOR A SEMILINEAR ORDINARY DIFFERENTIAL EQUATION WITH MIXED BOUNDARY VALUE CONDITION

白清源, 林鹏程   

  1. Fuzhou University, Fuzhou 350002, P. R. China
  • 收稿日期:1993-07-04 出版日期:1996-02-18 发布日期:1996-02-18
  • 基金资助:

    Project supported by the Natural Science Foundation of China and, Fujian

A UNIFORMLY DIFFERENCE SCHEME OF SINGULAR PERTURBATION PROBLEM FOR A SEMILINEAR ORDINARY DIFFERENTIAL EQUATION WITH MIXED BOUNDARY VALUE CONDITION

Bai Qingyuan, Lin Pengcheng   

  1. Fuzhou University, Fuzhou 350002, P. R. China
  • Received:1993-07-04 Online:1996-02-18 Published:1996-02-18
  • Supported by:

    Project supported by the Natural Science Foundation of China and, Fujian

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摘要： In the poper, the method of separating singularity is applied to study the uniformly difference scheme of a singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition. The uniform convergence on small parameter ε of order one for an IVin type difference scheme constructed is proved. At the end of the paper, a numerical example is given. The computing results coincide with the theoretical analysis.

Abstract: In the poper, the method of separating singularity is applied to study the uniformly difference scheme of a singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition. The uniform convergence on small parameter ε of order one for an IVin type difference scheme constructed is proved. At the end of the paper, a numerical example is given. The computing results coincide with the theoretical analysis.

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