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Chebyshev tau matrix method for Poisson-type equations in irregular domain

✍ Scribed by Weibin Kong; Xionghua Wu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
633 KB
Volume
228
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, a new meshless method, Chebyshev tau matrix method (CTMM) is researched. The matrix representations for the differentiation and multiplication of Chebyshev expansions make CTMM easy to implement. Problems with curve boundary can be efficiently treated by CTMM. Poisson-type problems, including standard Poisson problems, Helmholtz problems, problems with variable coefficients and nonlinear problems are computed. Some numerical experiments are implemented to verify the efficiency of CTMM, and numerical results are in good agreement with the analytical one. It appears that CTMM is very effective for Poisson-type problems in irregular domains.

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