- -

Design and Complex Dynamics of Potra-Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Design and Complex Dynamics of Potra-Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: ChandChicharroGarrido ...
Tamaño: 975.6Kb
Formato: PDF
Descripción: Versión editorial
Abrir
dc.contributor.author Chand, Prem B. es_ES
dc.contributor.author Chicharro, Francisco I. es_ES
dc.contributor.author Garrido Saez, Neus es_ES
dc.contributor.author Jain, Pankaj es_ES
dc.date.accessioned 2022-02-03T19:04:47Z
dc.date.available 2022-02-03T19:04:47Z
dc.date.issued 2019-10 es_ES
dc.identifier.uri http://hdl.handle.net/10251/180475
dc.description.abstract [EN] In this paper, using the idea of weight functions on the Potra¿Pták method, an optimal fourth order method, a non optimal sixth order method, and a family of optimal eighth order methods are proposed. These methods are tested on some numerical examples, and the results are compared with some known methods of the corresponding order. It is proved that the results obtained from the proposed methods are compatible with other methods. The proposed methods are tested on some problems related to engineering and science. Furthermore, applying these methods on quadratic and cubic polynomials, their stability is analyzed by means of their basins of attraction. es_ES
dc.description.sponsorship The second and third authors have been partially supported by PGC2018-095896-B-C22 (MCIU/AEI/FEDER/UE) and Generalitat Valenciana PROMETEO/2016/089 es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Nonlinear equations es_ES
dc.subject Potra-Pták method es_ES
dc.subject Optimal methods es_ES
dc.subject Weight function es_ES
dc.subject Basin of attraction es_ES
dc.subject Engineering applications es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Design and Complex Dynamics of Potra-Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math7100942 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.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089//Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ 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 Chand, PB.; Chicharro, FI.; Garrido Saez, N.; Jain, P. (2019). Design and Complex Dynamics of Potra-Pták-Type Optimal Methods for Solving Nonlinear Equations and Its Applications. Mathematics. 7(10):1-21. https://doi.org/10.3390/math7100942 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math7100942 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 21 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7 es_ES
dc.description.issue 10 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\398826 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem