On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems

An exact series solution for nonhomogeneous parabolic coupled systems of the type ut-Auxx=Gx, t, A1u0, t+B1ux0, t=0, A2ul, t+B2uxl, t=0, 0<x<1, t>0, ux, 0=fx, where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix is nonsingular, and A is a positive stable matrix, is co...

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Main Authors: Vicente Soler, Emilio Defez, Roberto Capilla, José Antonio Verdoy
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/826860
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author Vicente Soler
Emilio Defez
Roberto Capilla
José Antonio Verdoy
author_facet Vicente Soler
Emilio Defez
Roberto Capilla
José Antonio Verdoy
author_sort Vicente Soler
collection DOAJ
description An exact series solution for nonhomogeneous parabolic coupled systems of the type ut-Auxx=Gx, t, A1u0, t+B1ux0, t=0, A2ul, t+B2uxl, t=0, 0<x<1, t>0, ux, 0=fx, where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix is nonsingular, and A is a positive stable matrix, is constructed.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-e9f7130a0d0446fc9328cf37795a04722025-02-03T01:02:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/826860826860On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value ProblemsVicente Soler0Emilio Defez1Roberto Capilla2José Antonio Verdoy3Departamento de Matemática Aplicada, Universitat Politècnica de València, Camino de Vera S/N, 46022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera S/N, 46022 Valencia, SpainDepartamento de Ingeniería Electrónica, Universitat Politècnica de València, Camino de Vera S/N, 46022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera S/N, 46022 Valencia, SpainAn exact series solution for nonhomogeneous parabolic coupled systems of the type ut-Auxx=Gx, t, A1u0, t+B1ux0, t=0, A2ul, t+B2uxl, t=0, 0<x<1, t>0, ux, 0=fx, where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix is nonsingular, and A is a positive stable matrix, is constructed.http://dx.doi.org/10.1155/2014/826860
spellingShingle Vicente Soler
Emilio Defez
Roberto Capilla
José Antonio Verdoy
On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems
Abstract and Applied Analysis
title On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems
title_full On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems
title_fullStr On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems
title_full_unstemmed On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems
title_short On the Exact Series Solution for Nonhomogeneous Strongly Coupled Mixed Parabolic Boundary Value Problems
title_sort on the exact series solution for nonhomogeneous strongly coupled mixed parabolic boundary value problems
url http://dx.doi.org/10.1155/2014/826860
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AT robertocapilla ontheexactseriessolutionfornonhomogeneousstronglycoupledmixedparabolicboundaryvalueproblems
AT joseantonioverdoy ontheexactseriessolutionfornonhomogeneousstronglycoupledmixedparabolicboundaryvalueproblems