Exact and analytic numerical solution of coupled parabolic mixed problems in a semi-infinite medium
type: Item
instance of: scholarly article
title: Exact and analytic numerical solution of coupled parabolic mixed problems in a semi-infinite medium
zbMATH Open document ID: 1052.35078
DOI: 10.1016/S0898-1221(04)90032-6
publication date: 2004-06-15T00:00:00Z
review text: This paper deals with mixed problems of the type \[ u_t= Au+ Cu_{xx},\quad x<0,\;t>0, \qquad u(x,0)= g(x), \quad x\geq 0, \qquad u(0,t)= f(t), \quad t\geq 0, \] where \(u(x,t)\), \(g(x)\), and \(f(t)\) are \(m\)-dimensional vectors in \(\mathbb{C}^m\) and \(A\), \(C\) are matrices in \(\mathbb{C}^{m\times m}\). Using sine Fourier transforms, an exact expression of the exact solution is given.
Mathematics Subject Classification ID: 35K50
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 2075467
zbMATH Keywords: sine Fourier transform
zbMATH Keywords: diffusion problem
author: R. Company
author: E. Defez
author: L. Jódar
reviewed by: Messoud Efendiev
describes a project that uses: Expokit
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2075467