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A new high-order and effcient family of iterative techniques for nonlinear models

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A new high-order and effcient family of iterative techniques for nonlinear models

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dc.contributor.author Behl, Ramandeep es_ES
dc.contributor.author Martínez Molada, Eulalia es_ES
dc.date.accessioned 2021-02-10T04:31:30Z
dc.date.available 2021-02-10T04:31:30Z
dc.date.issued 2020-01-30 es_ES
dc.identifier.issn 1076-2787 es_ES
dc.identifier.uri http://hdl.handle.net/10251/160980
dc.description.abstract [EN] In this paper, we want to construct a new high-order and efficient iterative technique for solving a system of nonlinear equations. For this purpose, we extend the earlier scalar scheme [16] to a system of nonlinear equations preserving the same convergence order. Moreover, by adding one more additional step, we obtain minimum 5th-order convergence for every value of a free parameter, theta is an element of Double-struck capital R, and for theta=-1, the method reaches maximum 6-order convergence. We present an extensive convergence analysis of our scheme. The analytical discussion of the work is upheld by performing numerical experiments on some applied science problems and a large system of nonlinear equations. Furthermore, numerical results demonstrate the validity and reliability of the suggested methods. es_ES
dc.description.sponsorship This work was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant no. (D-349-130-1441). The authors, therefore, acknowledge with thanks, DSR technical and financial support. es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Complexity es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A new high-order and effcient family of iterative techniques for nonlinear models es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2020/1706841 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/KAU//D-349-130-1441/ 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 Behl, R.; Martínez Molada, E. (2020). A new high-order and effcient family of iterative techniques for nonlinear models. Complexity. 2020:1-11. https://doi.org/10.1155/2020/1706841 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1155/2020/1706841 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 11 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2020 es_ES
dc.relation.pasarela S\422491 es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder King Abdulaziz University, Arabia Saudí es_ES
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