| 同伦分析法在求解非线性耦合偏微分方程组中的应用 |
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| 引用本文： | 魏莉,钱素平.同伦分析法在求解非线性耦合偏微分方程组中的应用[J].常熟理工学院学报,2011,25(4):45-49,60. |
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| 作者姓名： | 魏莉 钱素平 |
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| 作者单位： | 1. 江苏大学理学院,江苏镇江,212013
2. 常熟理工学院数学与统计学院,江苏常熟,215500 |
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| 摘 要： | 利用同伦分析法求解了耦合非线性方程组,得到的近似解与其他方法得到的精确解十分吻合.结果表明这种方法是求解非线性问题的一种更行之有效的方法,可以更广泛地应用于求解其他的非线性问题.
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| 关 键 词： | 同伦分析法 耦合的非线性偏微分方程组 级数解 近似解 |
Application of the Homotopy Analysis Method to Solving a Coupled of Nonlinear Differential Equations |
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| WEI li,QIAN Su-Ping.Application of the Homotopy Analysis Method to Solving a Coupled of Nonlinear Differential Equations[J].Journal of Changshu Institute of Technology,2011,25(4):45-49,60. |
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| Authors: | WEI li QIAN Su-Ping |
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| Institution: | WEI li1,QIAN Su-Ping2(1.Faculty of Science,Jiangsu University,Zhenjiang 212013,China,2.School of Mathematics and Statistics,Changshu Institute of Technology,Changshu 215500,China) |
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| Abstract: | In this paper,the homotopy analysis method has been applied to solve coupled nonlinear differential equations.The result obtained by this method has been a good agreement with one obtained by other methods.This work illustrates the validity of the homotopy analysis method for the nonlinear differential equations.This approach can be widely employed to solve other nonlinear problems. |
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| Keywords: | Homotopy analysis method coupled system of nonlinear differential equations series solution approximate solution |
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