Bessel Collocation Method for Solving Fredholm–Volterra Integro-Fractional Differential Equations of Multi-High Order in the Caputo Sense

Autor:	Shazad Shawki Ahmed, Shabaz Jalil MohammedFaeq
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Fredholm–Volterra integral Equations fractional derivative Bessel polynomials Caputo derivative collocation points Mathematics QA1-939
Zdroj:	Symmetry, Vol 13, Iss 12, p 2354 (2021)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym13122354
Popis:	The approximate solutions of Fredholm–Volterra integro-differential equations of multi-fractional order within the Caputo sense (F-VIFDEs) under mixed conditions are presented in this article apply a collocation points technique based completely on Bessel polynomials of the first kind. This new approach depends particularly on transforming the linear equation and conditions into the matrix relations (some time symmetry matrix), which results in resolving a linear algebraic equation with unknown generalized Bessel coefficients. Numerical examples are given to show the technique’s validity and application, and comparisons are made with existing results by applying this process in order to express these solutions, most general programs are written in Python V.3.8.8 (2021).
Databáze:	Directory of Open Access Journals
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