An Accurate Approach to Simulate the Fractional Delay Differential Equations

Autor:	Mohamed Adel, Mohamed M. Khader, Salman Algelany, Khaled Aldwoah
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	FDDEs orthogonal system spectral collocation technique convergence analysis fractional-order Legendre polynomials Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 9, p 671 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7090671
Popis:	The fractional Legendre polynomials (FLPs) that we present as an effective method for solving fractional delay differential equations (FDDEs) are used in this work. The Liouville–Caputo sense is used to characterize fractional derivatives. This method uses the spectral collocation technique based on FLPs. The proposed method converts FDDEs into a set of algebraic equations. We lay out a study of the convergence analysis and figure out the upper bound on error for the approximate solution. Examples are provided to demonstrate the precision of the suggested approach.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b67172b5e26747d6ad55bd361ac4390a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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