A new method for approximate solutions of some nonlinear equations: Residual power series method

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dc.contributor.authorİnç, Mustafa
dc.contributor.authorKorpinar, Zeliha S.
dc.contributor.authorAl Qurashi, Maysaa' Mohamed
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2026-08-12T17:16:57Z
dc.date.issued2016
dc.departmentFırat Üniversitesi
dc.description.abstractIn this work, a powerful iterative method called residual power series method is introduced to obtain approximate solutions of nonlinear time-dependent generalized Fitzhugh-Nagumo equation with time-dependent coefficients and Sharma-Tasso-Olver equation subjected to certain initial conditions. The consequences show that this method is efficient and convenient, and can be applied to a large sort of problems. The approximate solutions are compared with the known exact solutions.
dc.description.sponsorshipResearch Center of the Center for Female Scientific and Medical Colleges, Deanship of Scientific Research, King Saud University; King Saud University
dc.description.sponsorshipThe author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This research project was supported by a grant from the Research Center of the Center for Female Scientific and Medical Colleges, Deanship of Scientific Research, King Saud University. The authors are thankful for the support by the Visiting Professor Program at King Saud University.
dc.identifier.doi10.1177/1687814016644580
dc.identifier.issn1687-8132
dc.identifier.issn1687-8140
dc.identifier.issue4
dc.identifier.orcid0000-0001-6658-131X
dc.identifier.scopus2-s2.0-84967025590
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1177/1687814016644580
dc.identifier.urihttps://hdl.handle.net/11508/52465
dc.identifier.volume8
dc.identifier.wosWOS:000375583100051
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSage Publications Ltd
dc.relation.ispartofAdvances in Mechanical Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectResidual power series method
dc.subjectnonlinear time-dependent generalized Fitzhugh-Nagumo equation
dc.subjectSharma-Tasso-Olver equation
dc.titleA new method for approximate solutions of some nonlinear equations: Residual power series method
dc.typeArticle

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