CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1997, Vol. 14 ›› Issue (S1): 699-701.

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COMPUTATIONAL METHOD OF THE TWO POINT SCHEME FOR A KIND OF ORDINARY DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE CONDITIONS

Tan Zhihai, Wu Xionghua   

  1. Department of Applied Mathematics, Tongji University, Shanghai, 200092
  • Received:1997-01-30 Revised:1997-06-30 Online:1997-12-25 Published:1997-12-25

Abstract: A two point scheme with high order accuracy on arbitrary mesh is presented for a kind of singular perturbation problems based on the idea of[1].Some improvements about boundary treatment and keeping stability are also given.Numerical examples found the method more convenient and efficient for singular perturbation problems.

Key words: singular perturbation problems, two-point scheme, high-order accuracy

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