An accurate solution of the Poisson equation by the Chebyshev-tau method
type: Item
instance of: scholarly article
title: An accurate solution of the Poisson equation by the Chebyshev-tau method
zbMATH Open document ID: 0890.65115
DOI: 10.1016/S0377-0427(97)00104-0
published in: Journal of Computational and Applied Mathematics
publication date: 1997-12-14T00:00:00Z
review text: This paper presents a new tau method for the two-dimensional Poisson equation. Comparison of the results for a test problem with those computed by \textit{D. B. Haidvogel} and \textit{T. Zang} [J. Comput. Phys. 30, 167-180 (1979; Zbl 0397.65077)] is discussed. It is also indicated that the developed method is more accurate than the existing one.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1088839
zbMATH Keywords: Poisson equation
zbMATH Keywords: Chebyshev-tau method
zbMATH Keywords: collocation method
zbMATH Keywords: comparison
zbMATH Keywords: test problem
author: Hani I. Siyyam
author: Muhammed Syam
reviewed by: Prabhat Kumar Mahanti
MaRDI profile type: Publication
cites work: An accurate solution of the Poisson equation by the Chebyshev collocation metod
cites work: The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
cites work: Q4692936
description: scientific article; zbMATH DE number 1088839