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Zbl 1191.65183
Lakestani, Mehrdad; Dehghan, Mehdi
Numerical solution of fourth-order integro-differential equations using Chebyshev cardinal functions. (English)
[J] Int. J. Comput. Math. 87, No. 6, 1389-1394 (2010). ISSN 0020-7160; ISSN 1029-0265/e

Summary: 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.

MSC 2000:: *65R20 Integral equations (numerical methods)
45J05 Integro-ordinary differential equations
45G10 Nonsingular nonlinear integral equations

Keywords: nonlinear two-point boundary value problem; Chebyshev cardinal functions; operational matrix of derivative; fourth-order integro-differential equations; numerical examples

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Zentralblatt MATH Berlin [Germany]