Abstract:In this paper, we proposed an advanced numerical model in solving the Fredholm integral equations of the first kind, by using Sinc basis functions. This method has been shown to be a powerful numerical solution for finding accurate solutions. So, in this paper, some properties of the Sinc-collocation method are used to reduce integral equation of the first kind to some algebraic equations. Numerical results are included to verify the accuracy of this method. 2010 Mathematics Subject Classification: 45B05; 65R20.

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