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2013 (Vol. 5, Issue: 01)
Article Information:

Analytical Approach to Some Highly Nonlinear Equations by Means of the RVIM

S. Ghasempour, J. Vahidi, A. Nikkar and M. Mighani
Corresponding Author:  Ali Nikkar 

Key words:  Generalized hirota-satsuma coupled KdV equation, kawahara equation, Reconstruction of Variational Iteration Method (RVIM), some FKdV equations, , ,
Vol. 5 , (01): 339-345
Submitted Accepted Published
July 05, 2012 July 28, 2012 January 01, 2013
Abstract:

In this study, Reconstruction of Variational Iteration Method (RVIM) is used for computing the Generalized Hirota-Satsuma coupled KdV equation, Kawahara equation and FKdV equations. This new applied algorithm is a powerful and efficient technique in finding the approximate solutions for the linear and nonlinear equations. RVIM as a method that based on Laplace transform has high rapid convergence and reduces the size of calculations using only few terms, so many linear and nonlinear equations can be solved by this method. Results are compared with those of Adomianís Decomposition Method (ADM). The results of Reconstruction of Variational Iteration Method (RVIM) are of high concentration and the method is very effective and succinct.
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  Cite this Reference:
S. Ghasempour, J. Vahidi, A. Nikkar and M. Mighani, 2013. Analytical Approach to Some Highly Nonlinear Equations by Means of the RVIM.  Research Journal of Applied Sciences, Engineering and Technology, 5(01): 339-345.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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