CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1993, Vol. 10 ›› Issue (1): 1-8.

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THE ASYMPTOTIC EXPANSION AND EXTRAPOLATION OFTHE SOLUTION OF DU FORT-FRANKEL SCHEMEFOR DIFFUSION PROBLEMS

Yang Qingmin, Gong An, Xie Jian   

  1. Hunan Computing Center, Changsha 410012
  • Received:1991-01-28 Revised:1992-06-28 Online:1993-03-25 Published:1993-03-25

Abstract: In this paper, we build the asymptotic expansion of solution of Du Fort-Frankel scheme for diffusion problem and then use extrapolation. The accruacy of the extrapolation solution may achieve O(τ2+h4) and the limitation of consistency is improved greatly.

Key words: the asymptotic expansion of the solution for Du Fort-Frankel scheme, extrapolation, reducing the computational work