doi: 10.17706/ijapm.2016.6.3.120-128
Numerical Solution for First Kind Fredholm Integral Equations by Using Sinc Collocation Method
Khosrow Maleknejad
1
,
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- 1 Department of Mathematics, Fandanesh Institute of Higher Education, Saveh, Iran
- 2 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
- 3 Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
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.
Keywords
- Fredholm integral equations
- Sinc approximation
- regularity
How to Cite
Khosrow Maleknejad, Yaser Rostami, and 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. https://doi.org/ 10.17706/ijapm.2016.6.3.120-128
Copyright & License
Copyright © 2016 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).