Numerical solution of functional integral equations by the variational iteration method

  • Authors:

  • Jafar Biazar;Mehdi Gholami Porshokouhi;Behzad Ghanbari;Mohammad Gholami Porshokouhi

  • Affiliations:

  • Department of Mathematics, Faculty of Science Guilan University, P.O Box 1914, P.C. 41938, Rasht, Iran;Member of Young Researchers Club, Department of Mathematics, Faculty of Science Islamic Azad University, Takestan Branch, Iran;Member of Young Researchers Club, Department of Mathematics, Faculty of Science Islamic Azad University, Takestan Branch, Iran;Member of Young Researchers Club, Department of Agricultural Machinery, Islamic Azad University, Takestan Branch, Iran

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2011

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Abstract

In the present article, we apply the variational iteration method to obtain the numerical solution of the functional integral equations. This method does not need to be dependent on linearization, weak nonlinearity assumptions or perturbation theory. Application of this method in finding the approximate solution of some examples confirms its validity. The results seem to show that the method is very effective and convenient for solving such equations.