dc.contributor.author |
Soler Basauri, Vicente
|
es_ES |
dc.contributor.author |
Defez Candel, Emilio
|
es_ES |
dc.contributor.author |
Verdoy González, José Antonio
|
es_ES |
dc.date.accessioned |
2015-06-09T08:27:22Z |
|
dc.date.available |
2015-06-09T08:27:22Z |
|
dc.date.issued |
2014 |
|
dc.identifier.issn |
1085-3375 |
|
dc.identifier.uri |
http://hdl.handle.net/10251/51407 |
|
dc.description.abstract |
This paper continues with the construction of the exact solution for parabolic coupled of the type u(t) = Au-xx, A(1)u(0, t) + B(1)u(x) (0, t) = 0, A(2)u(l, t) + B(2)u(x) (l, t) = 0, 0 < x < 1, t > 0, and u(x, 0) = f(x) where A(1), A(2), B-1, and B-2 are arbitrary matrices for which the block matrix ((A1)(A2) (B1)(B2)) 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. |
es_ES |
dc.description.sponsorship |
This work has been supported by the Generalitat Valenciana GV/2013/035. |
en_EN |
dc.language |
Español |
es_ES |
dc.publisher |
Hindawi Publishing Corporation |
es_ES |
dc.relation.ispartof |
Abstract and Applied Analysis |
es_ES |
dc.rights |
Reserva de todos los derechos |
es_ES |
dc.subject |
Molecular-scattering |
es_ES |
dc.subject |
Theory eigenfunctions |
es_ES |
dc.subject |
Collisions |
es_ES |
dc.subject |
Equations |
es_ES |
dc.subject.classification |
MATEMATICA APLICADA |
es_ES |
dc.title |
On exact series solution for strongly coupled mixed parabolic boundary value problems |
es_ES |
dc.type |
Artículo |
es_ES |
dc.identifier.doi |
10.1155/2014/759427 |
|
dc.relation.projectID |
info:eu-repo/grantAgreement/GVA//GV%2F2013%2F035/ |
es_ES |
dc.rights.accessRights |
Abierto |
es_ES |
dc.contributor.affiliation |
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada |
es_ES |
dc.contributor.affiliation |
Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària |
es_ES |
dc.description.bibliographicCitation |
Soler Basauri, V.; Defez Candel, E.; Verdoy González, JA. (2014). On exact series solution for strongly coupled mixed parabolic boundary value problems. Abstract and Applied Analysis. 1-9. https://doi.org/10.1155/2014/759427 |
es_ES |
dc.description.accrualMethod |
S |
es_ES |
dc.relation.publisherversion |
http://dx.doi.org/10.1155/2014/759427 |
es_ES |
dc.description.upvformatpinicio |
1 |
es_ES |
dc.description.upvformatpfin |
9 |
es_ES |
dc.type.version |
info:eu-repo/semantics/publishedVersion |
es_ES |
dc.relation.senia |
277098 |
|
dc.identifier.eissn |
1687-0409 |
|
dc.contributor.funder |
Generalitat Valenciana |
es_ES |
dc.description.references |
Levine, R. D., Shapiro, M., & Johnson, B. R. (1970). Transition Probabilities in Molecular Collisions: Computational Studies of Rotational Excitation. The Journal of Chemical Physics, 52(4), 1755-1767. doi:10.1063/1.1673214 |
es_ES |
dc.description.references |
Lill, J. V., Schmalz, T. G., & Light, J. C. (1983). Imbedded matrix Green’s functions in atomic and molecular scattering theory. The Journal of Chemical Physics, 78(7), 4456-4463. doi:10.1063/1.445338 |
es_ES |
dc.description.references |
Mrugal/a, F., & Secrest, D. (1983). The generalized log‐derivative method for inelastic and reactive collisionsa). The Journal of Chemical Physics, 78(10), 5954-5961. doi:10.1063/1.444610 |
es_ES |
dc.description.references |
Alexander, M. H., & Manolopoulos, D. E. (1987). A stable linear reference potential algorithm for solution of the quantum close‐coupled equations in molecular scattering theory. The Journal of Chemical Physics, 86(4), 2044-2050. doi:10.1063/1.452154 |
es_ES |
dc.description.references |
Melezhik, V. ., Puzynin, I. ., Puzynina, T. ., & Somov, L. . (1984). Numerical solution of a system of integrodifferential equations arising from the quantum mechanical three-body problem with coulomb interaction. Journal of Computational Physics, 54(2), 221-236. doi:10.1016/0021-9991(84)90115-3 |
es_ES |
dc.description.references |
Navarro, E., Jódar, L., & Ferrer, M. V. (2002). Constructing eigenfunctions of strongly coupled parabolic boundary value systems. Applied Mathematics Letters, 15(4), 429-434. doi:10.1016/s0893-9659(01)00154-9 |
es_ES |
dc.description.references |
Soler, V., Defez, E., Ferrer, M. V., & Camacho, J. (2013). On Exact Series Solution of Strongly Coupled Mixed Parabolic Problems. Abstract and Applied Analysis, 2013, 1-9. doi:10.1155/2013/524514 |
es_ES |
dc.description.references |
Soler, V., Navarro, E., & Ferrer, M. V. (2006). Invariant properties of eigenfunctions for multicondition boundary value problems. Applied Mathematics Letters, 19(12), 1308-1312. doi:10.1016/j.aml.2005.06.019 |
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