Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (5): 465-470.

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A HIGH ACCURACY DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION PROBLEM OF THE SECOND-ORDER LINEAR ORDINARY DIFFERENTIAL EQUATION IN CONSERVATION FORM

Wang Guo-ying   

  1. Nanjing University, Nanjing
  • Received:1988-02-08 Online:1989-05-18 Published:1989-05-18

Abstract: In this paper, combining the idea of difference method and finite element method, we construct a difference scheme for a self-adjoint problem in conservation form. Its solution uniformly converges to that of the original differential equation problem with order h3.

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