Approximate solutions for Fornberg-Whitham type equations

作者：Biazar Jafar; Eslami Mostafa^*

来源：International Journal of Numerical Methods for Heat and Fluid Flow, 2012, 22(6-7): 803-812.

DOI：10.1108/09615531211244934

• Fornberg-Whitham equations
• Homotopy perturbation method
• Numerical analysis

Purpose - The purpose of this study is to propose an analytical approach based on the homotopy perturbation method (HPM) for solving the initial value problems associated with the Fornberg-Whitham type equations.
Design/methodology/approach - In this paper, He's HPM is applied to Fornberg-Whitham equations. The procedure of the method is systematically illustrated.
Findings - The results show that the HPM is a powerful mathematical tool to solving these equations, it is also a promising method to solve other nonlinear equations.
Originality/value - The results show applicability, accuracy and efficiency of HPM in solving nonlinear differential equations. It is predicted that HPM can be widely applied in science and engineering problems.

• 出版日期2012