Study of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equations-Reference-Cited by-同舟云学术

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

Published:2020-09-29 Issue:1 Volume:2020 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Agarwal Praveen,Ramadan Mohamed,Osheba Heba S.,Chu Yu-Ming

Abstract

AbstractThe 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.

Funder

Aeronautical Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-020-02985-3.pdf

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