Solution of Systems of Integral-Differential Equations by Variational Iteration Method

Volume 1, Issue 1, pp 46--57 http://dx.doi.org/10.22436/jmcs.001.01.07

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Authors

M. Matinfar - Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran M. Ghanbari - Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran

Abstract

In this paper, we will consider variational iteration method (VIM) for solving systems of integral–differential equation. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. Using the variational iteration method, it is possible to find the exact solution or an approximate solution of the problem. In this paper, variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.

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ISRP Style

M. Matinfar, M. Ghanbari, Solution of Systems of Integral-Differential Equations by Variational Iteration Method, Journal of Mathematics and Computer Science, 1 (2010), no. 1, 46--57

AMA Style

Matinfar M., Ghanbari M., Solution of Systems of Integral-Differential Equations by Variational Iteration Method. J Math Comput SCI-JM. (2010); 1(1):46--57

Chicago/Turabian Style

Matinfar, M., Ghanbari, M.. "Solution of Systems of Integral-Differential Equations by Variational Iteration Method." Journal of Mathematics and Computer Science, 1, no. 1 (2010): 46--57

Keywords

Variational iteration method
Systems of integral–differential equations.

MSC

45J05
65R20
39B12

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