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Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices

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dc.contributor.author Abdelhakem, M.
dc.contributor.author Baleanu, D.
dc.contributor.author Agarwal, P.
dc.contributor.author Moussa, H.
dc.date.accessioned 2024-02-01T12:48:47Z
dc.date.available 2024-02-01T12:48:47Z
dc.date.issued 2023-03-01
dc.identifier.citation Abdelhakem M.;...et.al. (2023). "Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices", International Journal of Modern Physics C, Vol.34, No.3. tr_TR
dc.identifier.issn 01291831
dc.identifier.uri http://hdl.handle.net/20.500.12416/7053
dc.description.abstract Legendre polynomials' first derivatives have been used as the basis function via the pseudo-Galerkin spectral method. Operational matrices for derivatives have been used and extended to deal with the system of ordinary di®erential-algebraic equations. An algorithm via those matrices has been designed. The accuracy and e±ciency of the proposed algorithm had been shown by two techniques, theoretically, via the boundedness of the approximated expansion and numerically through numerical examples. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1142/S0129183123500365 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject First Derivatives Legendre Polynomials tr_TR
dc.subject Global Error Analysis tr_TR
dc.subject Operational Matrices tr_TR
dc.subject Ordinary Differential-Algebraic Equations tr_TR
dc.subject Pseudo-Galerkin Spectral Method tr_TR
dc.subject Spectral Approximation tr_TR
dc.title Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Modern Physics C tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 34 tr_TR
dc.identifier.issue 3 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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