On Solution of Fredholm Integrodifferential Equations Using Composite Chebyshev Finite Difference Method

الملخص EN

A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points.

Composite Chebyshev finite difference method is indeed an extension of the Chebyshev finite difference method and can be considered as a nonuniform finite difference scheme.

The main advantage of the proposed method is reducing the given problem to a set of algebraic equations.

Some examples are given to approve the efficiency and the accuracy of the proposed method.