A new technique of using homotopy analysis method for solving high-order nonlinear differential equations

作者：Hassan Hany N^*; El Tawil Andmagdy A

来源：Mathematical Methods in the Applied Sciences, 2011, 34(6): 728-742.

DOI：10.1002/mma.1400

• nonlinear initial value problems
• homotopy analysis method
• modified HAM
• system of differential equations

In this paper, a new technique of homotopy analysis method (HAM) is proposed for solving high-order nonlinear initial value problems. This method improves the convergence of the series solution, eliminates the unneeded terms and reduces time consuming in the standard homotopy analysis method (HAM) by transform the nth-order nonlinear differential equation to a system of n first-order equations. Second-and third-order problems are solved as illustration examples of the proposed method.

• 出版日期2011-4