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Numerical solution of functional integral equations by the variational iteration method

✍ Scribed by Jafar Biazar; Mehdi Gholami Porshokouhi; Behzad Ghanbari; Mohammad Gholami Porshokouhi

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
197 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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In this paper, He's variational iteration method is applied to obtain exact solutions of some nonlinear diffusion equations. The variational iteration method is used to construct correction functionals using general Lagrange multipliers identified optimally via the variational theory, and the initia