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Multidimensional Homeier's generalized class and its application to planar 1D Bratu problem

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Multidimensional Homeier's generalized class and its application to planar 1D Bratu problem

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dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Franqués García, Antonio María es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2016-06-23T06:39:08Z
dc.date.available 2016-06-23T06:39:08Z
dc.date.issued 2015-07-11
dc.identifier.issn 2254-3902
dc.identifier.uri http://hdl.handle.net/10251/66351
dc.description.abstract [EN] In this paper, a parametric family of iterative methods for solving nonlinear systems, including Homeier’s scheme is presented, proving its third-order of convergence. The numerical section is devoted to obtain an estimation of the solution of the classical Bratu problem by transforming it in a nonlinear system by using finite differences, and solving it with different elements of the iterative family. es_ES
dc.description.sponsorship This research was supported by Ministerio de Economía y Competitividad MTM2014-52016-C02-02.
dc.language Inglés es_ES
dc.publisher Springer es_ES
dc.relation.ispartof Journal of the Spanish Society of Applied Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Nonlinear system es_ES
dc.subject Iterative method es_ES
dc.subject Order of convergence es_ES
dc.subject Bratu’s problem es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.subject.classification TECNOLOGIA ELECTRONICA es_ES
dc.title Multidimensional Homeier's generalized class and its application to planar 1D Bratu problem es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s40324-015-0037-x
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES/ 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 Cordero Barbero, A.; Franqués García, AM.; Torregrosa Sánchez, JR. (2015). Multidimensional Homeier's generalized class and its application to planar 1D Bratu problem. Journal of the Spanish Society of Applied Mathematics. 70(1):1-10. https://doi.org/10.1007/s40324-015-0037-x es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s40324-015-0037-x es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 10 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 70 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 296764 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad
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