Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices
International Journal of Modern Physics C, 2023•World Scientific
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 differential-algebraic equations. An algorithm
via those matrices has been designed. The accuracy and efficiency of the proposed
algorithm had been shown by two techniques, theoretically, via the boundedness of the
approximated expansion and numerically through numerical examples.
Galerkin spectral method. Operational matrices for derivatives have been used and
extended to deal with the system of ordinary differential-algebraic equations. An algorithm
via those matrices has been designed. The accuracy and efficiency of the proposed
algorithm had been shown by two techniques, theoretically, via the boundedness of the
approximated expansion and numerically through numerical examples.
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 differential-algebraic equations. An algorithm via those matrices has been designed. The accuracy and efficiency of the proposed algorithm had been shown by two techniques, theoretically, via the boundedness of the approximated expansion and numerically through numerical examples.
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