Collocation method for fractional differential equation via Laguerre polynomials with eigenvalue degree

This paper describes about the Laguerre polynomials of eigenvalue degree, which we derive from solving from an eigenfunction of a type of Sturm-Liouville eigenvalue problem. Frobenius method had been applied to achieve this purpose. Hence, using this Laguerre polynomials of eigenvalue degree, we pro...

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Hauptverfasser: Toh, Yoke Teng, Phang, Chang
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:This paper describes about the Laguerre polynomials of eigenvalue degree, which we derive from solving from an eigenfunction of a type of Sturm-Liouville eigenvalue problem. Frobenius method had been applied to achieve this purpose. Hence, using this Laguerre polynomials of eigenvalue degree, we propose a numerical scheme to solve multi-term fractional differential equations in Caputo sense. Here, we use the Laguerre polynomial of eigenvalue degree to transform the fractional differential equations into a system of algebraic equations. By solving the system of algebraic equations, we able to solve the multi-term fractional differential equation easily and efficiently.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0053199