Numerical solutions of a class of non-linear ordinary differential equations in Hermite series

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dc.contributor.authorGuler C.
dc.contributor.authorKaya S.O.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:09:17Z
dc.date.available2024-07-22T08:09:17Z
dc.date.issued2019
dc.description.abstractThe purpose of this paper is to present a Hermite polynomial approach for solving a high-order ODE with non-linear terms under mixed conditions. The method we used is a matrix method based on collocation points together with truncated Hermite series and reduces the solution of equation to solution of a matrix equation which corresponds to a system of non-linear algebraic equations with unknown Hermite coefficients. In addition, to illustrate the validity and applicability of the method, some numerical examples together with residual error analysis are performed and the obtained results are compared with the existing result in literature. © 2019 Society of Thermal Engineers of Serbia.
dc.identifier.DOI-ID10.2298/TSCI181215047G
dc.identifier.issn03549836
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14763
dc.language.isoEnglish
dc.publisherSerbian Society of Heat Transfer Engineers
dc.rightsAll Open Access; Gold Open Access; Green Open Access
dc.subjectLinear equations
dc.subjectMatrix algebra
dc.subjectNumerical methods
dc.subjectPolynomials
dc.subjectCollocation method
dc.subjectHermite series
dc.subjectHermite's polynomials
dc.subjectHigh-order ODEs
dc.subjectMatrix methods
dc.subjectNon linear
dc.subjectNon-linear ODE
dc.subjectNonlinear ordinary differential equation
dc.subjectNumerical solution
dc.subjectPolynomial approach
dc.subjectOrdinary differential equations
dc.titleNumerical solutions of a class of non-linear ordinary differential equations in Hermite series
dc.typeArticle

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