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→Semianalytical methods
===Semianalytical methods===
===Semianalytical methods===
半解析方法
The [[Adomian decomposition method]], the [[Aleksandr Lyapunov|Lyapunov]] artificial small parameter method, and He's [[homotopy perturbation method]] are all special cases of the more general [[homotopy analysis method]]. These are series expansion methods, and except for the Lyapunov method, are independent of small physical parameters as compared to the well known [[perturbation theory]], thus giving these methods greater flexibility and solution generality.
The [[Adomian decomposition method]], the [[Aleksandr Lyapunov|Lyapunov]] artificial small parameter method, and He's [[homotopy perturbation method]] are all special cases of the more general [[homotopy analysis method]]. These are series expansion methods, and except for the Lyapunov method, are independent of small physical parameters as compared to the well known [[perturbation theory]], thus giving these methods greater flexibility and solution generality.
The Adomian decomposition method, the Lyapunov artificial small parameter method, and He's homotopy perturbation method are all special cases of the more general homotopy analysis method. These are series expansion methods, and except for the Lyapunov method, are independent of small physical parameters as compared to the well known perturbation theory, thus giving these methods greater flexibility and solution generality.
The Adomian decomposition method, the Lyapunov artificial small parameter method, and He's homotopy perturbation method are all special cases of the more general homotopy analysis method. These are series expansion methods, and except for the Lyapunov method, are independent of small physical parameters as compared to the well known perturbation theory, thus giving these methods greater flexibility and solution generality.
阿多米安分解法、李雅普诺夫人工小参数方法和何同伦摄动方法都是更一般的同伦分析方法的特殊情况。除了李雅普诺夫方法之外，这些都是级数展开方法，与为人熟知的摄动理论方法相比，它们与小的物理参数无关，因此这些方法具有更大的灵活性和解的通用性。
== Numerical solutions ==
== Numerical solutions ==