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

H. I. Siyyam; M. I. Syam

doi:10.1016/S0377-0427(97)00104-0

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

H. I. Siyyam, M. I. Syam

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of Computational and Applied Mathematics
Volume	85
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(97)00104-0
Publication status	Published - Nov 6 1997
Externally published	Yes

Keywords

Chebyshev polynomials
Poisson equation
Tau method

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(97)00104-0

Cite this

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

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AU - Syam, M. I.

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N2 - A new Tau method is presented for the two-dimensional Poisson equation. Comparison of the results for the test problem u(x, y) = sin(4πx)sin(4πy) with those computed by Haidvogel and Zang, using the matrix diagonalization method, and Dang-Vu̇ and Delcarte, using the Chebyshev collocation method, indicates that our method would be more accurate.

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

KW - Chebyshev polynomials

KW - Poisson equation

KW - Tau method

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

Abstract

Keywords

ASJC Scopus subject areas

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