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

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, indicate...

Full description

Saved in:
Bibliographic Details
Main Author: Muhammad I. Syam
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171297000975
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0161-1712
1687-0425