Homotopy perturbation technique
Homotopy perturbation technique
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DOI：
10.1016/s0045-7825(99)00018-3
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发表时间：
1999-08-03
影响因子：
7.2
通讯作者：
He, JH
中科院分区：
文献类型：
--
作者：
He, JH
同伦摄动技术不依赖于方程中的小参数。通过拓扑中的同伦技术，用嵌入参数 p epsilon [0, 1] 构造同伦，该参数被视为“小参数”。给出了一些例子。通过所提出的方法获得的近似不仅对于小参数而且对于非常大的参数都一致有效。 (C) 1999 Elsevier Science S.A. 保留所有权利。
The homotopy perturbation technique does not depend upon a small parameter in the equation. By the homotopy technique in topology, a homotopy is constructed with an imbedding parameter p epsilon [0, 1], which is considered as a "smalI parameter". Some examples are given. The approximations obtained by the proposed method are uniformly valid not only for small parameters, but also for very large parameters. (C) 1999 Elsevier Science S.A. All rights reserved.