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...
Saved in:
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2014-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/826860 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832567015325302784 |
---|---|
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. |
format | Article |
id | doaj-art-e9f7130a0d0446fc9328cf37795a0472 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT vicentesoler ontheexactseriessolutionfornonhomogeneousstronglycoupledmixedparabolicboundaryvalueproblems AT emiliodefez ontheexactseriessolutionfornonhomogeneousstronglycoupledmixedparabolicboundaryvalueproblems AT robertocapilla ontheexactseriessolutionfornonhomogeneousstronglycoupledmixedparabolicboundaryvalueproblems AT joseantonioverdoy ontheexactseriessolutionfornonhomogeneousstronglycoupledmixedparabolicboundaryvalueproblems |