Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations

Document Type : Research Paper


1 Department of Mathematics, Faculty of Science, Menoua University, Egypt.

2 Department of Mathematics, Faculty of Engineering, Benha University, Egypt.


In this paper, we have proposed an efficient numerical method to solve a system linear fuzzy Fredholm integral equations of the second kind based on Bernoulli wavelet method (BWM). Bernoulli wavelets have been generated by dilation and translation 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 integral 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.