| Approximate solution for the Klein Gordon-Schrdinger equation by the homotopy analysis method |
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| 作者姓名： | 王佳 李彪 叶望川 |
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| 作者单位： | (1)Nonlinear Science Center and Department of Mathematics, NingboUniversity, Ningbo 315211, China; (2)Nonlinear Science Center and Department of Mathematics, NingboUniversity, Ningbo 315211, China;MM Key Lab, Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No. 10735030), NationalBasic Research Program of China (Grant No.~2007CB814800), Ningbo NaturalScience Foundation (Grant No.~2008A610017) and K.C. Wong Magna Fundin Ningbo University. |
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| 摘 要： | ![]()
The Homotopy analysis method is applied to obtain the approximate solution of the Klein--Gordon--Schr?dinger equation. The Homotopy analysis solutions of the Klein--Gordon--Schr?dinger equation contain an auxiliary parameter which provides a convenient way to control the convergence region and rate of the series solutions. Through errors analysis and numerical simulation, we can see the approximate solution is very close to the exact solution.
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| 关 键 词： | Klein-Gordon-Schrdinger equation homotopy analysis method approximate solution |
| 收稿时间： | 2009-06-03 |
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