Chebyshev finite difference method for Fredholm integro-differential equation

Authors:
Mehdi Dehghan;Abbas Saadatmandi
Affiliations:
Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran;Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran
Venue:
International Journal of Computer Mathematics
Year:
2008

Citing 3
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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.