Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (3): 231-241.

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A UNIFORMLY CONVERGENT SECOND ORDER DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION IN CONSERVATION FORM

Guo Wen, Lin Peng-cheng   

  1. Fuzhou University, Fuzhou
  • Received:1987-06-03 Online:1989-03-18 Published:1989-03-18

Abstract: In this paper, based on the idea of El-Mistikawy and Werle[1] we construct a difference scheme for a singularly perturbed self-adjoint ordinary differential equation in conservation form. We prove that it is a uniformly convergent second order scheme.

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