Study of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equations

Autor:	Praveen Agarwal, Mohamed Ramadan, Heba S. Osheba, Yu-Ming Chu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Fuzzy Fredholm integral equation Bernstein polynomial Improved block-pulse function Absolute error Accuracy Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02985-3
Popis:	Abstract The approximate numerical solution of the linear second kind of fuzzy integral Fredholm equations is discussed in this article. A new approach uses hybrid functions, and some useful properties of these functions are proposed to transform linear second type fuzzy integral Fredholm equations into an algebraic equation. The new approach is a mixture of Bernstein polynomials (BPs) and enhanced block-pulse functions (IBPFs) at interval [ 0 , 1 ) $[0, 1)$ . The approach is appealing and very easy to implement computationally. Some numerical tests show the reliability and exactness of the suggested scheme.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8ae6e651e2e84791ac9d5c9d651442bd Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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