Bernstein collocation method for solving the first order Nonlinear differential equations with the mixed Non-Linear conditions

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dc.contributor.authorYalçinbaş S.
dc.contributor.authorGörler H.
dc.date.accessioned2024-07-22T08:14:09Z
dc.date.available2024-07-22T08:14:09Z
dc.date.issued2015
dc.description.abstractIn this study, we present the Bernstein matrix method to solve the first order nonlinear ordinary differential equations with the mixed non-linear conditions. By using this method, we obtain the approximate solutions in form of the Bernstein polynomials [1,2,16,17]. The method reduces the problem to a system of the nonlinear algebraic equations by means of the required matrix relations of the solutions form. By solving this system, the approximate solution is obtained. Finally, the method will be illustrated on the examples.
dc.identifier.DOI-ID10.19029/mca-2015-014
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16494
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.subjectAlgebra
dc.subjectDifferential equations
dc.subjectMatrix algebra
dc.subjectOrdinary differential equations
dc.subjectPolynomials
dc.subjectRiccati equations
dc.subjectApproximate solution
dc.subjectBernstein polynomial
dc.subjectCollocation method
dc.subjectCollocation points
dc.subjectFirst order nonlinear differential equations
dc.subjectNon-linear conditions
dc.subjectNonlinear algebraic equations
dc.subjectNonlinear ordinary differential equation
dc.subjectNonlinear equations
dc.titleBernstein collocation method for solving the first order Nonlinear differential equations with the mixed Non-Linear conditions
dc.typeArticle

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