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Vietnam Journal of Mathematics 37:1 (2009) 81-89

A Class of Alternating Group Explicit Finite Difference Method for Diffusion Equation

Qinghua Feng

Abstract.  In this paper, we first present a group of asymmetric finite difference schemes to approach diffusion equation. Based on the schemes a class of alternating group explicit finite difference method is derived. The scheme is verified to be unconditionally stable, and can be used for parallel computation. Results of the numerical experiments show that the method is of high accuracy.

2000 Mathematics Subject Classification: 65M06, 74S20.

Keywords: Diffusion equation, parallel computation, finite difference, alternating group.

 

 

 

 

 

 

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