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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (10): 1210-1215.

• 论文 • 上一篇    下一篇

A CONSERVATIVE DIFFERENCE SCHEME FOR CONSERVATIVE DIFFERENTIAL EQUATION WITH PERIODIC BOUNDARY

蔡新   

  1. Department of Computer, Jimei University, Xiamen 361021, P. R. China
  • 收稿日期:2000-03-24 修回日期:2001-03-23 出版日期:2001-10-18 发布日期:2001-10-18

A CONSERVATIVE DIFFERENCE SCHEME FOR CONSERVATIVE DIFFERENTIAL EQUATION WITH PERIODIC BOUNDARY

CAI Xin   

  1. Department of Computer, Jimei University, Xiamen 361021, P. R. China
  • Received:2000-03-24 Revised:2001-03-23 Online:2001-10-18 Published:2001-10-18

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摘要： The conservative form and singular perturbed ordinary differential equation with periodic boundary value problem were studied, and a conservative difference scheme was constructed. Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, it is proved that the scheme converges uniformly to the solution of differential equation with order one.

Abstract: The conservative form and singular perturbed ordinary differential equation with periodic boundary value problem were studied, and a conservative difference scheme was constructed. Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, it is proved that the scheme converges uniformly to the solution of differential equation with order one.

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