Journal of Modern Mathematics and Statistics

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Solving Second Kind Fredholm Integral Equations with Special Oscillatory Kernel

B. Moradi and J. Naghipoor
Page: 153-156 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

In this study, we find numerical solution of

by Newton Interpolation. We determined coefficients such that

to be an approximation for u (x). This method give an approximate solution for integral equation and also it is powerful in solving both Fredholm and Volterra integral equations, specially for the first kind. In this study, we use special interpolation and quadrature rule for numerical integration. Effectiveness and accuracy of new method are presented with numerical examples.

How to cite this article:

B. Moradi and J. Naghipoor . Solving Second Kind Fredholm Integral Equations with Special Oscillatory Kernel.
DOI: https://doi.org/10.36478/jmmstat.2008.153.156
URL: https://www.makhillpublications.co/view-article/1994-5388/jmmstat.2008.153.156