Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid of Block-Pulse Functions and Chebyshev Polynomials

الملخص EN

A numerical method for solving nonlinear Fredholm integral equations of second kind is proposed.

The Fredholm-type equations, which have many applications in mathematical physics, are then considered.

The method is based upon hybrid function approximate.

The properties of hybrid of block-pulse functions and Chebyshev series are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of nonlinear.

Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.