Chebyshev finite difference method for Fredholm integro-differential equation

Abstract

A Chebyshev finite difference method has been proposed in order to solve linear and nonlinear second-order Fredholm integro-differential equations. The approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a nonuniform finite difference scheme. Some numerical results are also given to demonstrate the validity and applicability of the presented technique.

Keywords:

• Fredholm integro-differential equation
• Chebyshev finite difference method
• Numerical methods
• Gauss–Lobatto nodes

Acknowledgements

The research of the second author is supported by the University of Kashan. A. Saadatmandi would like to thank the Research Council of the University of Kashan for this kind support.

Additional information

Notes on contributors

Abbas Saadatmandi

Email: [email protected]