A matrix constructive method for the analytic-numerical solution of coupled partial differential systems
type: Item
instance of: scholarly article
title: A matrix constructive method for the analytic-numerical solution of coupled partial differential systems
zbMATH Open document ID: 0841.65087
author: M. V. Ferrer
author: L. Jódar
author: Enrique Navarro
published in: Applications of Mathematics
publication date: 1996-07-25T00:00:00Z
full work available at URL: https://eudml.org/doc/32927
review text: The paper considers analytic-numerical methods for initial-boundary problems for systems of the following type \(u_t - Au_{xx} - Bu = 0\), where \(B\) is an arbitrary square matrix and \(A\) has a positive definite symmetric part. Dirichlet boundary conditions are considered and a method related to separation of variables is introduced. The method is based on truncation of the infinite series and its analysis substantially uses the smoothing property of the parabolic equation.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 845878
zbMATH Keywords: matrix constructive method
zbMATH Keywords: series expansion
zbMATH Keywords: analytic-numerical methods
zbMATH Keywords: systems
zbMATH Keywords: separation of variables
reviewed by: Raytcho D. Lazarov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 845878