On the Solving Nonlinear Approximate Long Wave Equations


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 .


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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


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