# Solving Integral equations on Semi-Infinite Intervals via Rational third kind Chebyshev functions

Author Affiliations

^{1}Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, IRAN^{2}Department of Mathematics, Faculty of Sciences, University of Isfahan, Isfahan, IRAN^{3}Department of Mathematics, Khorasgan Branch, Islamic Azad University, Isfahan, IRAN

*Res. J. Recent Sci.,* **Volume 3, Issue (12),** Pages 75-77, December,2 **(2014)**

## Abstract

In this paper, we employ the rational third kind Chebyshev functions on the interval (0, ∞) to solve the linear integral equations of the second kind over infinite intervals. The properties of the rational third kind Chebyshev functions together with the Galerkin method are applied to reduce the integral equation to a system of linear algebraic equations. Using two numerical examples, we show that our estimates have a good degree of accuracy.

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