Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method

الملخص EN

A numerical method to solve nonlinear Fredholm integral equations of second kind is presented in this work.

The method is based upon hybrid function approximate.

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

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