Author:
Hamza Issa,Sh. Al-Atabi Ahmed
Abstract
This paper discussed the analytic methods to solve Second order Volterra integral equations form using different methods. The domain decomposition method is the first technique. Depending on the hypothesis, the solution is by sequence. The second method is the successive approximation technique, which is used Picard iteration method. The third method used Laplace transformation. The modified decomposition technique is used as the fourth method. Depending on the Taylor series, the fifth method is called the series method. The last method solves the VIE using the functional correction technique called the variational iteration method. We introduce some examples to illustrate these methods.
Subject
Industrial and Manufacturing Engineering,Materials Science (miscellaneous),Business and International Management
Reference17 articles.
1. Rahman, M., Integral equations and their applications. 2007: WIT press.
2. Majeed, S.N., Solution of Second Kind Volterra Integro Equations Using linear Non-Polynomial Spline Function.
3. Mandal, B. and A. Chakrabarti, Book Review Applied Singular Integral Equations (PA MARTIN). Journal of Integral Equations and Applications, 2011. 23(4): p. 597-598.
4. Wazwaz, A.-M., Linear and nonlinear integral equations. Vol. 639. 2011: Springer.
5. Porshokouhi, M.G., B. Ghanbari, and M. Rashidi, Variational iteration method for solving Volterra and Fredholm integral equations of the second kind. Gen, 2011. 2(1): p. 143-148.