On the numerical solution of fractional differential equations with cubic nonlinearity via matching polynomial of complete graph

Simple item page
dc.contributor.authorKürkçü Ö.K.
dc.contributor.authorAslan E.İ.
dc.contributor.authorSezer M.
dc.date.accessioned2024-07-22T08:08:21Z
dc.date.available2024-07-22T08:08:21Z
dc.date.issued2019
dc.description.abstractThis study deals with a generalized form of fractional differential equations with cubic nonlinearity, employing a matrix-collocation method dependent on the matching polynomial of complete graph. The method presents a simple and efficient algorithmic infrastructure, which contains a unified matrix expansion of fractional-order derivatives and a general matrix relation for cubic nonlinearity. The method also performs a sustainable approximation for high value of computation limit, thanks to the inclusion of the matching polynomial in matrix system. Using the residual function, the convergence and error estimation are investigated via the second mean value theorem having a weight function. In comparison with the existing results, highly accurate results are obtained. Moreover, the oscillatory solutions of some model problems arising in several applied sciences are simulated. It is verified that the proposed method is reliable, efficient and productive. © 2019, Indian Academy of Sciences.
dc.identifier.DOI-ID10.1007/s12046-019-1225-7
dc.identifier.issn02562499
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14360
dc.language.isoEnglish
dc.publisherSpringer
dc.rightsAll Open Access; Bronze Open Access
dc.subjectComputation theory
dc.subjectDifferential equations
dc.subjectGraph theory
dc.subjectPolynomial approximation
dc.subjectCollocation method
dc.subjectConvergence analysis
dc.subjectCubic nonlinearities
dc.subjectFractional differential equations
dc.subjectFractional order derivatives
dc.subjectMatching polynomial
dc.subjectNumerical solution of fractional differential equations
dc.subjectOscillatory solutions
dc.subjectControl nonlinearities
dc.titleOn the numerical solution of fractional differential equations with cubic nonlinearity via matching polynomial of complete graph
dc.typeArticle

Files

Collections

Scopus Koleksiyonu