J4 ›› 2009, Vol. 44 ›› Issue (2): 39-44.

• Articles • Previous Articles     Next Articles

A highorder parallel difference scheme for a parabolic equation

SUN Kai, WANG Wenqia   

  1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2008-10-16 Published:2010-04-15

Abstract:

A high order parallel finite difference algorithm of a parabolic equation was presented. First,  the values of the previous three levels at the interface points were combined with the compact scheme to solve the values of subdomains in parallel, then the values at the interface points were computed by the compact scheme. The stability bound of the procedure was derived to be at least 23+16, and the convergence rate was proved to be of order four. Numerical examples show that this method has much better accuracy than  other  methods.

Key words: parabolic equation; parallel difference algorithm; fourthorder accuracy; domain decomposition methods

CLC Number: 

  • O241
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