Archive
Special Issues Volume 4, Issue 5, October 2016, Page: 247-251
Homotopy Perturbation Transform Method for Solving Third Order Korteweg-DeVries (KDV) Equation
Abdelilah Kamal Hassan Sedeeg, Mathematics Department Faculty of Sciences and Arts, Almikwah-Albaha University, Albaha, Saudi Arabia; Mathematics Department Faculty of Education, Holy Quran and Islamic Sciences University, Khartoum, Sudan
Received: Sep. 4, 2016;       Accepted: Sep. 26, 2016;       Published: Oct. 18, 2016
Abstract
In this paper, we develop a method to calculate approximate solution of some Third-order Korteweg-de Vries equations with initial condition with the help of a new method called Aboodh transform homotopy perturbation method (ETHPM). This method is a combination of the new integral transform “Aboodh transform” and the homotopy perturbation method. The nonlinear term can be easily handled by homotopy perturbation method. The results reveal that the combination of Aboodh transform and homotopy perturbation method is quite capable, practically well appropriate for use in such problems and can be applied to other nonlinear problems. This method is seen as a better alternative method to some existing techniques for such realistic problems.
Keywords
Aboodh Transform, Homotopy Perturbation Method, Korteweg-DeVries (KDV) Equation
Abdelilah Kamal Hassan Sedeeg, Homotopy Perturbation Transform Method for Solving Third Order Korteweg-DeVries (KDV) Equation, American Journal of Applied Mathematics. Vol. 4, No. 5, 2016, pp. 247-251. doi: 10.11648/j.ajam.20160405.16
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