基于同伦分析的Falkner-skan方程近似解

Approximate Solution of Falkner-skan Equation Based on Homopoty Analiysis Method

运用同伦分析解法求解一类非线性Falkner-skan方程的近似解,并将所得结果与已有的方法进行对比。其结果表明,同伦分析解法不仅计算简单而且结果精确,是求解非线性Falkner-skan方程近似解的一种行之有效的方法。

The homopoty analysis method （HAM） is a valid way to solve the nonlinear pde problem. In this paper, the approximate solution of nonlinear Falkner-skan equation is obtained by HAM, Compared to the existed methods, the result is the same,and,it also shows the HAM is an effective method to solve the nonlinear pde problem.