Taylor collocation method for solving a class of the first order nonlinear differential equations

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dc.contributor.authorTaştekin D.
dc.contributor.authorYalçinbaş S.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:18:53Z
dc.date.available2024-07-22T08:18:53Z
dc.date.issued2013
dc.description.abstractIn this study, we present a reliable numerical approximation of the some first order nonlinear ordinary differential equations with the mixed condition by the using a new Taylor collocation method. The solution is obtained in the form of a truncated Taylor series with easily determined components. Also, the method can be used to solve Riccati equation. The numerical results show the effectuality of the method for this type of equations. Comparing the methodology with some known techniques shows that the existing approximation is relatively easy and highly accurate.
dc.identifier.DOI-ID10.3390/mca18030383
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17455
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectNumerical methods
dc.subjectOrdinary differential equations
dc.subjectRiccati equations
dc.subjectCollocation method
dc.subjectCollocation points
dc.subjectFirst order nonlinear differential equations
dc.subjectHighly accurate
dc.subjectNonlinear ordinary differential equation
dc.subjectNumerical approximations
dc.subjectNumerical results
dc.subjectTaylor polynomials
dc.subjectNonlinear equations
dc.titleTaylor collocation method for solving a class of the first order nonlinear differential equations
dc.typeArticle

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