Kirkuk Journal of Science

Kirkuk Journal of Science

Solution of a System of Linear Fredholm Integral Equations of the Second Kind by Iteration Methods

Author
Abstract
In this paper, we consider the linear system of Fredholm integral equation of the second kind. Three methods are used to solve this system, successive approximation method, Aitken's method depending on successive approximation method and a new procedure which is Aitken's method depending on Adomian decomposition method. A comparison between approximate and exact results for two numerical examples depending on the least-square error, are given to show the accuracy of the results obtained by using these methods.
Keywords

Volume 2, Issue 1
Spring 2007
Page 57-68

  • Receive Date 01 June 2007
  • Revise Date 20 June 2007
  • Accept Date 25 June 2007