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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (3): 221-230.

• 论文 • 上一篇    下一篇

ASYMPTOTIC METHOD FOR SINGULAR PERTURBATION PROBLEM OF ORDINARY DIFFERENCE EQUATIONS

吴启光, 苏煜城, 孙志忠   

  1. Nanjing University, Nanjing
  • 收稿日期:1987-09-17 出版日期:1989-03-18 发布日期:1989-03-18

ASYMPTOTIC METHOD FOR SINGULAR PERTURBATION PROBLEM OF ORDINARY DIFFERENCE EQUATIONS

Wu Chi-kuang, Su Yu-cheng, Sun Zhi-zhong   

  1. Nanjing University, Nanjing
  • Received:1987-09-17 Online:1989-03-18 Published:1989-03-18

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摘要： This paper is taken up for the following difference equation problem (Pe); where e is a small parameter, c1, c2,α,β constants and a(kε),b(kε),ƒ(kε)(1≤k≤N) functions of k and ε. Firstly, the case with constant coefficients is considered. Secondly, a general method based on extended transformation is given to handle (Pa) where the coefficients may be variable and uniform asymptotic expansions are obtained. Finally, a numerical example is provided to illustrate the proposed method.

Abstract: This paper is taken up for the following difference equation problem (Pe); where e is a small parameter, c1, c2,α,β constants and a(kε),b(kε),ƒ(kε)(1≤k≤N) functions of k and ε. Firstly, the case with constant coefficients is considered. Secondly, a general method based on extended transformation is given to handle (Pa) where the coefficients may be variable and uniform asymptotic expansions are obtained. Finally, a numerical example is provided to illustrate the proposed method.

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