Numerical Solution of Volterra-Fredholm Integral Equations Using Hybrid Orthonormal Bernstein and Block-Pulse Functions

We have proposed an efficient numerical method to solve a class of mixed Volterra-Fredholm integral equations (VFIE’s) of the second kind, numerically based on Hybrid Orthonormal Bernstein and Block-Pulse Functions (OBH). The aim of this paper is to apply OBH method to obtain approximate solutions of nonlinear Fuzzy Fredholm Integro-differential Equations. First we introduce properties of Hybrid Orthonormal Bernstein and Block-Pulse Functions, we used it to transform the integral equations to the system of linear algebraic equations then an iterative approach is proposed to obtain approximate solution of class of linear algebraic equations, a numerical examples is presented to illustrate the proposed method. The error estimates of the proposed method is given.