A discrete Fourier method for numerical solution of strongly coupled mixed parabolic systems
type: Item
instance of: scholarly article
title: A discrete Fourier method for numerical solution of strongly coupled mixed parabolic systems
zbMATH Open document ID: 1084.65077
author: M.-C. Casabán
author: G. A. Ossandón
author: L. Jódar
publication date: 2005-08-04T00:00:00Z
review text: The article deals with the system of strongly coupled parabolic partial differential equations arising in diffusion processes, microwave engineering or geomechanics. The proposed numerical scheme is based on the spatio-temporal discretisation by the Crank-Nicolson method. The authors suggest to treat the numerical scheme by means of the discrete Fourier method and a decomposition of discrete spatial and time dependence. This approach leads to a possibility of proving stability of the derived scheme. The results are related to those of \textit{L. Jodar} and \textit{M. C. Casaban} [Math. Comput. Modelling 34, 283--297 (2001; Zbl 0994.65096)].
reviewed by: Michal Beneš
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35M10
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 2191964
zbMATH Keywords: coupled parabolic problem
zbMATH Keywords: Crank-Nicolson scheme
zbMATH Keywords: Fourier method
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.01.017
OpenAlex ID: W2036184466
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DOI: 10.1016/J.CAMWA.2004.01.017
published in: Computers & Mathematics with Applications
description: scientific article