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

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

This paper continues with the construction of the exact solution for parabolic coupled systems of the type ut=Auxx, A1u(0,t)+B1ux(0,t)=0, A2u(l,t)+B2ux(l,t)=0, 0<x<1, t>0, and u(x,0)=f(x), where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix (A1B1A2B2) is nonsingular,...

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Main Authors: Vicente Soler, Emilio Defez, José Antonio Verdoy
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/759427
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spelling doaj-63e09f6833af4c67b1ecf2ff16b9ceb52020-11-24T23:26:30ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/759427759427On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value ProblemsVicente Soler0Emilio Defez1José Antonio Verdoy2Departamento 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, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainThis paper continues with the construction of the exact solution for parabolic coupled systems of the type ut=Auxx, A1u(0,t)+B1ux(0,t)=0, A2u(l,t)+B2ux(l,t)=0, 0<x<1, t>0, and u(x,0)=f(x), where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix (A1B1A2B2) is nonsingular, and A is a positive stable matrix. Although this problem has been solved in the literature (Soler et al., 2013), in this work we are using completely new conditions.http://dx.doi.org/10.1155/2014/759427
collection DOAJ
language English
format Article
sources DOAJ
author Vicente Soler
Emilio Defez
José Antonio Verdoy
spellingShingle Vicente Soler
Emilio Defez
José Antonio Verdoy
On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems
Abstract and Applied Analysis
author_facet Vicente Soler
Emilio Defez
José Antonio Verdoy
author_sort Vicente Soler
title On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems
title_short On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems
title_full On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems
title_fullStr On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems
title_full_unstemmed On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems
title_sort on exact series solution for strongly coupled mixed parabolic boundary value problems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description This paper continues with the construction of the exact solution for parabolic coupled systems of the type ut=Auxx, A1u(0,t)+B1ux(0,t)=0, A2u(l,t)+B2ux(l,t)=0, 0<x<1, t>0, and u(x,0)=f(x), where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix (A1B1A2B2) is nonsingular, and A is a positive stable matrix. Although this problem has been solved in the literature (Soler et al., 2013), in this work we are using completely new conditions.
url http://dx.doi.org/10.1155/2014/759427
work_keys_str_mv AT vicentesoler onexactseriessolutionforstronglycoupledmixedparabolicboundaryvalueproblems
AT emiliodefez onexactseriessolutionforstronglycoupledmixedparabolicboundaryvalueproblems
AT joseantonioverdoy onexactseriessolutionforstronglycoupledmixedparabolicboundaryvalueproblems
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