CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1993, Vol. 10 ›› Issue (1): 62-68.

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A FOURTH-ORDER DISSIPATION EXPONENT-TYPE SCHEME OF ONE-SIDED APPROXIMATION FOR SOLVING CONVECTIVE DIFFUSION EQUATIONS

Lu Junan, Yang Yisong   

  1. Wuhan University of Hydraulic and Electric Engineering, Wuhan 430072
  • Received:1991-09-02 Revised:1992-04-01 Online:1993-03-25 Published:1993-03-25

Abstract: In this paper a fourth-oder dissipation exponent-type scheme of one-sided approximation for solving convective diffusion equations is derived. The theoretical results on the stability and the properties of one-sided approximation and fourth-oder dissipation of this scheme have been presented. The relations of this scheme and finite analytic method is also obtained. Some numerical examples are qiven.

Key words: one-sided approximation, dissipation, finite analytic method