On the exact series solution for nonhomogeneous strongly coupled mixed parabolic boundary value problems
type: Item
instance of: scholarly article
title: On the exact series solution for nonhomogeneous strongly coupled mixed parabolic boundary value problems
zbMATH Open document ID: 1474.35364
DOI: 10.1155/2014/826860
author: V. Soler
author: E. Defez
author: Roberto Capilla
author: José Antonio Verdoy
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: An exact series solution for nonhomogeneous parabolic coupled systems of the type \(u_t - A u_{x x} = G \left(x, t\right), A_1 u \left(0, t\right) + B_1 u_x \left(0, t\right) = 0, A_2 u \left(l, t\right) + B_2 u_x \left(l, t\right) = 0, 0 < x < 1, t > 0, u \left(x, 0\right) = f \left(x\right)\), where \(A_1, A_2, B_1\), and \(B_2\) are arbitrary matrices for which the block matrix \(\begin{pmatrix} A_1 & B_1 \\ A_2 & B_2 \end{pmatrix}\) is nonsingular, and \(A\) is a positive stable matrix, is constructed.
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 7023149
Wikidata QID: Q59041826
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/826860
OpenAlex ID: W2107120332
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description: scientific article; zbMATH DE number 7023149