Title of article :
Bernoulli Wavelet Method for Numerical Solutions of System of Fuzzy Integral Equations
Author/Authors :
Rada Ali, Mohamed Department of Mathematics - Faculty of Engineering - Benha University - Egypt
Abstract :
In this paper, we have proposed an effcient numerical method to solve a system lin- ear fuzzy Fredholm integral equations of the second kind based on Bernoulli wavelet
method (BWM). Bernoulli wavelets have been generated by dilation and transla-
tion of Bernoulli polynomials. The aim of this paper is to apply Bernoulli wavelet
method to obtain approximate solutions of a system of linear Fredholm fuzzy inte-
gral equations. First, we introduce properties of Bernoulli wavelets then we used it
to transform the integral equations to the system of algebraic equations, the error
estimates of the proposed method are given and compared by solving some numerical
examples.
Keywords :
Parametric form of a Fuzzy number , Bernoulli wavelets , Fuzzy integral equations , Approxi- mate solution , product matrix , Error estimation
Journal title :
Computational Methods for Differential Equations