CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2002, Vol. 19 ›› Issue (1): 8-12.

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GROUP IMPLICIT METHOD FOR THE NONLINEAR HEAT CONDUCTION EQUATION AND NUMERICAL EXPERIMENTS

ZHANG Bao-lin1, LU Jin-fu2, TAO Ying-xue1, DU Zheng-ping2   

  1. 1. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, P R China;
    2 Department of Applied Mathematics, Tsinghua University, Beijing 100088, P R China
  • Received:2000-03-10 Revised:2000-10-31 Online:2002-01-25 Published:2002-01-25

Abstract: By using Saul'yev asymmetric schemes, the group implicit method is developed for the nonlinear heat equation appearing in laser physics, which has the obvious property of parallelism. Numerical experiments show that the new method has the similar accuracy with the known implicit method, and the numbers of iteration in both cases are nearly the same.

Key words: nonlinear, heat equation, parallel algorithm

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