- -

On the Chandrasekhar integral equation

RiuNet: Institutional repository of the Polithecnic University of Valencia

Share/Send to

Cited by

Statistics

  • Estadisticas de Uso

On the Chandrasekhar integral equation

Show simple item record

Files in this item

dc.contributor.author Hernández-Verón, Miguel A. es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.contributor.author Singh, Sukhjit es_ES
dc.date.accessioned 2022-04-05T06:55:28Z
dc.date.available 2022-04-05T06:55:28Z
dc.date.issued 2021-11 es_ES
dc.identifier.uri http://hdl.handle.net/10251/181810
dc.description This is the peer reviewed version of the following article: Hernández-Verón, MA, Martínez, E, Singh, S. On the Chandrasekhar integral equation. Comp and Math Methods. 2021; 3:e1150, which has been published in final form at https://doi.org/10.1002/cmm4.1150. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. es_ES
dc.description.abstract [EN] This study is devoted to solve the Chandrasekhar integral equation that it is used for modeling problems in theory of radiative transfer in a plane-parallel atmosphere, and others research areas like the kinetic theory of gases, neutron transport, traffic model, the queuing theory among others. First of all, we transform the Chandrasekhar integral equation into a nonlinear Hammerstein-type integral equation with the corresponding Nemystkii operator and the proper nonseparable kernel. Them, we approximate the kernel in order to apply an iterative scheme. This procedure it is solved in two different ways. First one, we solve a nonlinear equation with separable kernel and define an adequate nonlinear operator between Banach spaces that approximates the first problem. Second one, we introduce an approximation for the inverse of the Frechet derivative that appears in the Newton's iterative scheme for solving nonlinear equations. Finally, we perform a numerical experiment in order to compare our results with previous ones published showing that are competitive. es_ES
dc.description.sponsorship This research was partially supported by Ministerio de Economía y Competitividad under grant PGC2018-095896-B-C21-C22. es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Computational and Mathematical Methods es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Convergence order es_ES
dc.subject Domain of existence of solution es_ES
dc.subject Domain of uniqueness of solution es_ES
dc.subject Integral equation es_ES
dc.subject Newton iterative scheme es_ES
dc.subject Nonlinear equation es_ES
dc.subject Nonseparable kernel es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the Chandrasekhar integral equation es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/cmm4.1150 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C21/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ 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.description.bibliographicCitation Hernández-Verón, MA.; Martínez Molada, E.; Singh, S. (2021). On the Chandrasekhar integral equation. Computational and Mathematical Methods. 3(6):1-14. https://doi.org/10.1002/cmm4.1150 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/cmm4.1150 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 14 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 3 es_ES
dc.description.issue 6 es_ES
dc.identifier.eissn 2577-7408 es_ES
dc.relation.pasarela S\449496 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES


This item appears in the following Collection(s)

Show simple item record