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dc.contributor.authorGulsu, Mustafa
dc.contributor.authorOzturk, Yalcin
dc.contributor.authorSezer, Mehmet
dc.date.accessioned2020-11-20T16:33:40Z
dc.date.available2020-11-20T16:33:40Z
dc.date.issued2011
dc.identifier.issn0096-3003
dc.identifier.urihttps://doi.org/10.1016/j.amc.2010.11.044
dc.identifier.urihttps://hdl.handle.net/20.500.12809/4444
dc.descriptionWOS: 000285286200048en_US
dc.description.abstractThis paper presents a new approximate method of Abel differential equation. By using the shifted Chebyshev expansion of the unknown function, Abel differential equation is approximately transformed to a system of nonlinear equations for the unknown coefficients. A desired solution can be determined by solving the resulting nonlinear system. This method gives a simple and closed form of approximate solution of Abel differential equation. The solution is calculated in the form of a series with easily computable components. The numerical results show the effectiveness of the method for this type of equation. Comparing the methodology with some known techniques shows that the present approach is relatively easy and highly accurate. (C) 2010 Elsevier Inc. All rights reserved.en_US
dc.item-language.isoengen_US
dc.publisherElsevier Science Incen_US
dc.item-rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAbel Equationen_US
dc.subjectShifted Chebyshev Polynomials and Seriesen_US
dc.subjectChebyshev Polynomial Solutionsen_US
dc.subjectApproximation Methoden_US
dc.titleOn the solution of the Abel equation of the second kind by the shifted Chebyshev polynomialsen_US
dc.item-typearticleen_US
dc.contributor.departmenten_US
dc.contributor.departmentTemp[Gulsu, Mustafa; Ozturk, Yalcin; Sezer, Mehmet] Mugla Univ, Dept Math, Fac Sci, Mugla, Turkeyen_US
dc.identifier.doi10.1016/j.amc.2010.11.044
dc.identifier.volume217en_US
dc.identifier.issue9en_US
dc.identifier.startpage4827en_US
dc.identifier.endpage4833en_US
dc.relation.journalApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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