On the Solving Nonlinear Approximate Long Wave Equations
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Authors
M. Matinfar
- Departmentof Mathematics, University of Mazandaran, P. O. Box 47416 95447, Babolsar Iran
A. Fereidoon
- Department of Mecanical Engineering, Faculty of Engieering Semnan Azad Uni., Semnan, Iran
A. Aliasghartoyeh
- Department of Mecanical Engineering Faculty of Engieering Semnan Azad Uni., Semnan, Iran
Abstract
In this letter, He's Variational Iteration Method (VIM) is implemented for solving the
nonlinear Whitham-Broer-Kaup partial differential equations in the special case is named
approximate long wave equations (ALW).
This method is based on Lagrange multipliers for identification of optimal values of
parameters in a functional. Using this method creates a sequence which those obtained by the
Adomian decomposition method (ADM). The work confirms that the VIM method is superior
and very faster to the ADM .
Share and Cite
ISRP Style
M. Matinfar, A. Fereidoon, A. Aliasghartoyeh, On the Solving Nonlinear Approximate Long Wave Equations , Journal of Mathematics and Computer Science, 1 (2010), no. 2, 128--135
AMA Style
Matinfar M., Fereidoon A., Aliasghartoyeh A., On the Solving Nonlinear Approximate Long Wave Equations . J Math Comput SCI-JM. (2010); 1(2):128--135
Chicago/Turabian Style
Matinfar, M., Fereidoon, A., Aliasghartoyeh, A.. "On the Solving Nonlinear Approximate Long Wave Equations ." Journal of Mathematics and Computer Science, 1, no. 2 (2010): 128--135
Keywords
- Whitham-Broer-Kaup equations
- Approximate Long Wave equations
- Variational Iteration Method
- Adomian Decomposition Method.
MSC
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