Application of rational second kind Chebyshev functions for system of integrodifferential equations on semi-infinite intervals. (English) Zbl 1264.65215

Kajani, M. Tavassoli; Vahdati, S.; Abbas, Zulkifly; Maleki, Mohammad

J. Appl. Math. 2012, Article ID 803503, 11 p. (2012).

Summary: Rational Chebyshev bases and Galerkin method are used to obtain the approximate solution of a system of high-order integro-differential equations on the interval \([0,\infty)\). This method is based on replacement of the unknown functions by their truncated series of rational Chebyshev expansion. Test examples are considered to show the high accuracy, simplicity, and efficiency of this method.

MSC:

65R20	Numerical methods for integral equations
45J05	Integro-ordinary differential equations

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