A New Method for Approximate Solutions of Some Nonlinear Equations: Residual Power Series Method
| dc.contributor.author | Korpinar, Zeliha S. | |
| dc.contributor.author | Al Qurashi, Maysaa' Mohamed | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Inc, Mustafa | |
| dc.date.accessioned | 2017-04-19T12:14:47Z | |
| dc.date.accessioned | 2025-09-18T12:06:27Z | |
| dc.date.available | 2017-04-19T12:14:47Z | |
| dc.date.available | 2025-09-18T12:06:27Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In 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. | en_US |
| dc.description.sponsorship | Research Center of the Center for Female Scientific and Medical Colleges, Deanship of Scientific Research, King Saud University; King Saud University | en_US |
| dc.description.sponsorship | The 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. | en_US |
| dc.identifier.citation | İnç, M...et al. (2016). A new method for approximate solutions of some nonlinear equations: Residual power series method. Advance In Mechanical Engineering, 8(4). http://dx.doi.org/10.1177/1687814016644580 | en_US |
| dc.identifier.doi | 10.1177/1687814016644580 | |
| dc.identifier.issn | 1687-8132 | |
| dc.identifier.issn | 1687-8140 | |
| dc.identifier.scopus | 2-s2.0-84967025590 | |
| dc.identifier.uri | https://doi.org/10.1177/1687814016644580 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10913 | |
| dc.language.iso | en | en_US |
| dc.publisher | Sage Publications Ltd | en_US |
| dc.relation.ispartof | Advances in Mechanical Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Residual Power Series Method | en_US |
| dc.subject | Nonlinear Time-Dependent Generalized Fitzhugh-Nagumo Equation | en_US |
| dc.subject | Sharma-Tasso-Olver Equation | en_US |
| dc.title | A New Method for Approximate Solutions of Some Nonlinear Equations: Residual Power Series Method | en_US |
| dc.title | A new method for approximate solutions of some nonlinear equations: Residual power series method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Inc, Mustafa] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey; [Korpinar, Zeliha S.] Mus Alparslan Univ, Fac Econ & Adm Sci, Dept Adm, Mus, Turkey; [Al Qurashi, Maysaa' Mohamed] King Saud Univ, Dept Math, Riyadh, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Sharma-Tasso-Olver equation | |
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| gdc.oaire.keywords | Power series | |
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| gdc.oaire.keywords | Iterative method | |
| gdc.oaire.keywords | Method of mean weighted residuals | |
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| gdc.oaire.keywords | Residual | |
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| gdc.oaire.keywords | Thermodynamics | |
| gdc.oaire.keywords | nonlinear time-dependent generalized Fitzhugh-Nagumo equation | |
| gdc.oaire.keywords | Iterative Methods | |
| gdc.oaire.keywords | Galerkin method | |
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