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

[摘要] A new Tau method is presented for the two-dimensional Poisson equation. Comparison of the results for the test problem u(x, y) = sin(4 pi x) sin(4 pi y) 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.

[发布日期] 1997-11-06

[关键词] Poisson equation;Chebyshev polynomials;Tau method