Numerical solution of fourth-order integro-differential equations using Chebyshev cardinal functions

Authors:
Mehrdad Lakestani;Mehdi Dehghan
Affiliations:
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran
Venue:
International Journal of Computer Mathematics
Year:
2010

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Abstract

A numerical technique is presented for the solution of fourth-order integro-differential equations. This method uses the Chebyshev cardinal functions. The method consists of expanding the required approximate solution as the elements of Chebyshev cardinal functions. Using the operational matrix of derivative, we reduce the problem to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces very accurate results.