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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (7): 715-726.

• 论文 • 上一篇    

UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR FIRST BOUNDARY VALUE PROBLEM FOR ELLIPTIC DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER AT THE HIGHEST DETIVATIVE

刘必跃   

  1. Nanjing University, Nanjing
  • 收稿日期:1985-01-25 出版日期:1986-07-18 发布日期:1986-07-18

UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR FIRST BOUNDARY VALUE PROBLEM FOR ELLIPTIC DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER AT THE HIGHEST DETIVATIVE

Liu Bi-yue   

  1. Nanjing University, Nanjing
  • Received:1985-01-25 Online:1986-07-18 Published:1986-07-18

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摘要： In this paper we consider the Dirichlet problem for elliptic differential equations. A special difference scheme is constructed from the necessary condition of uniform convergence. We also prove the uniform convergence and the asymptotic behavior of the solution of the difference problem, and give the error estimate.

关键词: elliptical sandwich plate, superpositive-iterative harmonic balance (SIHB) method, 1/3 subharmonic solution, bifurcation

Abstract: In this paper we consider the Dirichlet problem for elliptic differential equations. A special difference scheme is constructed from the necessary condition of uniform convergence. We also prove the uniform convergence and the asymptotic behavior of the solution of the difference problem, and give the error estimate.

Key words: elliptical sandwich plate, superpositive-iterative harmonic balance (SIHB) method, 1/3 subharmonic solution, bifurcation

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