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An accurate solution of the Poisson equation by the Chebyshev-Tau method

✍ Scribed by H.I. Siyyam; M.I. Syam

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 322 KB
Volume: 85
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00104-0

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✦ Synopsis

A new Tau method is presented for the two-dimensional Poisson equation. Comparison of the results for the test problem u(x, y)= sin(47~x)sin(4ny) with those computed by Haidvogel and Zang, using the matrix diagonalization method, and Dang-Vu and Delcarte, using the Chebyshev collocation method, indicates that our method would be more accurate.

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