Abdelhakem, M.Baleanu, D.Agarwal, P.Moussa, H.2024-02-012024-02-012023Abdelhakem 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.3.1291831https://hdl.handle.net/20.500.12416/7053Legendre 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.eninfo:eu-repo/semantics/closedAccessFirst Derivatives Legendre PolynomialsGlobal Error AnalysisOperational MatricesOrdinary Differential-Algebraic EquationsPseudo-Galerkin Spectral MethodSpectral ApproximationArticle34310.1142/S0129183123500365