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.

Index Terms—Fredholm integral equations, Sinc approximation, regularity.

Khosrow Maleknejad is with Department of Mathematics, Fandanesh Institute of Higher Education, Saveh, Iran (e-mail: maleknejad@iust.ac.ir).
Yaser Rostami is with Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Hamed Shahi Kalalagh is with Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.

Cite: Khosrow Maleknejad, Yaser Rostami, Hamed Shahi Kalalagh, "Numerical Solution for First Kind Fredholm Integral Equations by Using Sinc Collocation Method," International Journal of Applied Physics and Mathematics vol. 6, no. 3, pp. 120-128, 2016.