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Vietnam
Journal of Mathematics 37:1 (2009) 81-89
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A Class of Alternating Group Explicit Finite
Difference Method for Diffusion Equation
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Qinghua Feng
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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.
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2000 Mathematics Subject Classification: 65M06, 74S20.
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Keywords: Diffusion equation, parallel computation,
finite difference, alternating group.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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