A numerical approach for solving generalized Abel-type nonlinear differential equations

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dc.contributor.authorBülbül B.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:13:09Z
dc.date.available2024-07-22T08:13:09Z
dc.date.issued2015
dc.description.abstractIn this paper, a numerical power series algorithm which is based on the improved Taylor matrix method is introduced for the approximate solution of Abel-type differential equations and also, Riccati differential equations. The technique is defined and illustrated with some numerical examples. The obtained results reveal that the method is very effective, simple and valid high accuracy. The method can be easily extended to other nonlinear equations. © 2015 Elsevier Inc.
dc.identifier.DOI-ID10.1016/j.amc.2015.04.057
dc.identifier.issn00963003
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16284
dc.language.isoEnglish
dc.publisherElsevier Inc.
dc.subjectAlgorithms
dc.subjectDifferential equations
dc.subjectNumerical methods
dc.subjectRiccati equations
dc.subjectAbel-type equations
dc.subjectApproximate solution
dc.subjectHigh-accuracy
dc.subjectNonlinear differential equation
dc.subjectNumerical approaches
dc.subjectPower series method
dc.subjectRiccati differential equation
dc.subjectTaylor matrix methods
dc.subjectNonlinear equations
dc.titleA numerical approach for solving generalized Abel-type nonlinear differential equations
dc.typeArticle

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