Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials

Autor:	M. Askari
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fractional bagley–torvik equation caputo derivative lucas polynomials residual error function convergence analysis Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Iranian Journal of Numerical Analysis and Optimization, Vol 13, Iss Issue 4, Pp 695-710 (2023)
Druh dokumentu:	article
ISSN:	2423-6977 2423-6969
DOI:	10.22067/ijnao.2023.81548.1230
Popis:	The aim of this article is to present a new method based on Lucas poly-nomials and residual error function for a numerical solution of fractional Bagley–Torvik equations. Here, the approximate solution is expanded as a linear combination of Lucas polynomials, and by using the collocation method, the original problem is reduced to a system of linear equations. So, the approximate solution to the problem could be found by solving this system. Then, by using the residual error function and approximating the error function by utilizing the same approach, we achieve more accurateresults. In addition, the convergence analysis of the method is investi-gated. Numerical examples demonstrate the validity and applicability of the method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3a392c6a611e4597b060e54238939bac Zobrazit plný text záznamu View record in DOAJ