International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 713-718
doi:10.1155/S0161171297000975

An accurate solution of the Poisson equation by the Legendre tau method

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-Vu and Delcarte, using the Chebyshev collocation method, indicates that our method would be more accurate.