Convergency and Error Estimate of Nonlinear Fredholm Fuzzy Integral Equations of the Second Kind by Homotopy Analysis Method

Author

Lotfi, Marjan

Author_Institution

Islamic Azad UniversityScience & Res. Branch, Tehran, Iran

Volume

2

fYear

2010

fDate

19-21 March 2010

Firstpage

183

Lastpage

190

Abstract

A powerful, easy-to-use analytic tool for nonlinear problems in general, namely the homotopy analysis method, is further improved and systematically described through a typical nonlinear problem. In this paper, a Nonlinear Fredholm fuzzy integral equations is solved by using the homotopy analysis method(HAM). The approximate solution of this equation is calculated in the form of a series which its components are computed easily. The convergence and error estimate of the proposed method are proved.

Keywords

approximation theory; convergence of numerical methods; fuzzy set theory; integral equations; nonlinear equations; convergency analysis; error analysis; homotopy analysis method; nonlinear Fredholm fuzzy integral equations; nonlinear problems; Application software; Computer applications; Computer errors; Fuzzy control; Fuzzy sets; Fuzzy systems; Integral equations; Nonlinear equations; Power engineering and energy; Power engineering computing; Frednolm integral equation; Fuzzy integral equation; Homotopy analysis method;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Engineering and Applications (ICCEA), 2010 Second International Conference on

Conference_Location

Bali Island

Print_ISBN

978-1-4244-6079-3

Electronic_ISBN

978-1-4244-6080-9

Type

conf

DOI

10.1109/ICCEA.2010.190

Filename

5445598