一维浅水潮波方程的同伦分析解法  

Homotopy Analysis Solution for 1-D Shallow Water Tidal Wave Equations

作　　者：姜德民[1] 吴自库[1] 

机构地区：[1]青岛农业大学理学与信息科学学院,青岛266109

出　　处：《武汉理工大学学报》2009年第6期122-125,共4页Journal of Wuhan University of Technology

基　　金：国家863计划(2007AA09Z118)

摘　　要：研究了一维浅水潮波模型。由于该模型为非线性模型,无法获得解析解。利用同伦分析方法,得到了该模型解的近似展开式。同伦分析方法不同于其他解析近似方法,该方法提供了一个简单途径,确保所得到的级数解收敛,从而可以获得非线性问题足够精度的解析近似。对近似解与数值解进行了比较,比较结果表明,近似解具有较高的精度,该方法用一维浅水潮波模型研究可行。1-D shallow water tidal wave model was considered. It is impossible to get its analytical solution because of no linearity. Using the homotopy analysis method, the approximation of the solution for the model was obtained. Different from other analytical techniques it provides us a simple way to ensure the convergence of solution series, so that one can get accurate enough analytical approximations. Compared with the numerical solution, the approximation solution from the method agrees well with the numerical solution. It shows the method is feasible to research this model.

关 键 词：浅水潮波 非线性 同伦分析 

分 类 号：P731[天文地球—海洋科学]