Legendre collocation method for solving nonlinear differential equations

Simple item page
dc.contributor.authorGüner A.
dc.contributor.authorYalçinbaş S.
dc.date.accessioned2024-07-22T08:18:40Z
dc.date.available2024-07-22T08:18:40Z
dc.date.issued2013
dc.description.abstractIn this study, a matrix method based on Legendre collocation points on interval [-1,1] is proposed for the approximate solution of the some first order nonlinear ordinary differential equations with the mixed conditions in terms of Legendre polynomials. The method by means of Legendre collocation points, transforms the differential equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Legendre coefficients. Also, the method can be used for solving Riccati equation. The numerical results show the effectuality of the method for this type of equations. Comparisons are made between the obtained solution and the exact solution.
dc.identifier.DOI-ID10.3390/mca18030521
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17378
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectMathematical transformations
dc.subjectMatrix algebra
dc.subjectNumerical methods
dc.subjectOrdinary differential equations
dc.subjectPolynomials
dc.subjectRiccati equations
dc.subjectApproximate solution
dc.subjectLegendre coefficient
dc.subjectLegendre collocations
dc.subjectLegendre polynomials
dc.subjectLegendre-collocation method
dc.subjectNonlinear algebraic equations
dc.subjectNonlinear differential equation
dc.subjectNonlinear ordinary differential equation
dc.subjectNonlinear equations
dc.titleLegendre collocation method for solving nonlinear differential equations
dc.typeArticle

Files

Collections

Scopus Koleksiyonu