Convergence analysis for an iterative method for solving nonlinear parabolic systems
type: Item
instance of: scholarly article
title: Convergence analysis for an iterative method for solving nonlinear parabolic systems
zbMATH Open document ID: 1111.65083
author: Mohammed Al-Refai
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-11-15T00:00:00Z
review text: The author proves that iterative method based on the eigenfunction expansion to integrate nonlinear parabolic systems is convergent and gives an analytical rate for its convergence and the number of iterations needed to obtain a solution with a pre-determined level of accuracy. He illustrates the convergence analysis with a central problem in combustion theory and expects that the convergence analysis can be used or similar systems with time dependence.
reviewed by: Ziwen Jiang
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 80M30
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5072989
zbMATH Keywords: parabolic systems
zbMATH Keywords: Galerkin method
zbMATH Keywords: eigenfunction expansions
zbMATH Keywords: combustion theory
zbMATH Keywords: iterative method
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.12.045
OpenAlex ID: W2027986932
cites work: Sequential eigenfunction expansion for a problem in combustion theory
cites work: Non-linear wave-number interaction in near-critical two-dimensional flows
cites work: Q3316508
cites work: Q4810483
DOI: 10.1016/J.JMAA.2005.12.045
description: scientific article; zbMATH DE number 5072989