Application of the optimal homotopy asymptotic method for solving a strongly nonlinear oscillatory system

作者：Golbabai A^*; Fardi M; Sayevand K

来源：Mathematical and Computer Modelling, 2013, 58(11-12): 1837-1843.

DOI：10.1016/j.mcm.2011.12.027

• Optimal homotopy asymptotic method
• Homotopy analysis method
• Homotopy-pade technique

In this paper, the optimal homotopy asymptotic method (OHAM) and the traditional homotopy analysis method (HAM) are used to obtain analytical solution for a strongly nonlinear oscillation. Moreover, the homotopy-pade technique is employed to accelerate the convergence of solution series of traditional HAM. Results show that the second-order approximation by the OHAM is quick convergence and more accurate than the high-order of approximation by the homotopy-pade technique.

• 出版日期2013-12