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

M. Abdelhakem, D. Baleanu, P. Agarwal and Hanaa Moussa ()
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M. Abdelhakem: Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt2Basic Science Department, School of Engineering, Canadian International College, New Cairo, Egypt
D. Baleanu: Department of Mathematics, Cankaya University, Turkey4Institute of Space Sciences, Romania5Lebanese American University, Beirut, Lebanon
P. Agarwal: Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India7Nonlinear Dynamics Research Center (NDRC), Ajman University, United Arab Emirates
Hanaa Moussa: Basic Science Department, School of Engineering, Canadian International College, New Cairo, Egypt

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 03, 1-12

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 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.

Keywords: Spectral approximation; pseudo-Galerkin spectral method; operational matrices; first derivatives Legendre polynomials; ordinary differential-algebraic equations; global error analysis (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123500365

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