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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/759427 |
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| _version_ | 1849412297748905984 |
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| author | Vicente Soler Emilio Defez José Antonio Verdoy |
| author_facet | Vicente Soler Emilio Defez José Antonio Verdoy |
| author_sort | Vicente Soler |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-63e09f6833af4c67b1ecf2ff16b9ceb5 |
| 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-63e09f6833af4c67b1ecf2ff16b9ceb52025-08-20T03:34:29ZengWileyAbstract 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 |
| spellingShingle | Vicente Soler Emilio Defez José Antonio Verdoy On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/759427 |
| work_keys_str_mv | AT vicentesoler onexactseriessolutionforstronglycoupledmixedparabolicboundaryvalueproblems AT emiliodefez onexactseriessolutionforstronglycoupledmixedparabolicboundaryvalueproblems AT joseantonioverdoy onexactseriessolutionforstronglycoupledmixedparabolicboundaryvalueproblems |