New techniques for designing a finite difference domain decomposition algorithm for the two-and three-dimensional heat equations

Authors:
Ting Wang
Affiliations:
School of Mathematics and System Sciences, Shandong University, Jinan, P.R. China
Venue:
International Journal of Computer Mathematics
Year:
2007

Citing 3
Cited 0

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Abstract

New techniques are presented for designing a finite difference domain decomposition algorithm for the two-and three-dimensional heat equations. The basic procedure is to define the finite difference schemes at the interface grid points with a smaller time step [image omitted] and a larger mesh spacing h¯. The stability region of the algorithm is expanded Jd2 times compared with the classical explicit scheme, and a better error bound of the numerical solutions is obtained when r¯=1/6. Numerical experiments are also presented.