| 分数阶耦合Burgers方程组的同伦摄动解 |
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| 引用本文： | 彭春晓,袁凤连,王艳.分数阶耦合Burgers方程组的同伦摄动解[J].数学理论与应用,2014(4):71-75. |
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| 作者姓名： | 彭春晓 袁凤连 王艳 |
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| 作者单位： | 南昌工学院,南昌330108 |
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| 摘 要： | 本文利用同伦摄动法求关于时间Burgers方程组的二阶近似解,为了说明此方法的有效性我们利用Maple 14软件作出了整数阶耦合Burgers方程组的近似解和精确解的图像.结果表明此方法计算量小,避免了对系数的复杂讨论过程并且得出的近似解精确度较高.
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| 关 键 词： | 同伦摄动法 分数阶耦合Burgers方程组 |
The Homotopy Perturbation Solutions to Fractional Order Coupled Burgers Equations |
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| Peng Chunxiao Yuan Fenglian Wang Yan.The Homotopy Perturbation Solutions to Fractional Order Coupled Burgers Equations[J].Mathematical Theory and Applications,2014(4):71-75. |
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| Authors: | Peng Chunxiao Yuan Fenglian Wang Yan |
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| Institution: | Peng Chunxiao Yuan Fenglian Wang Yan ( School of Ethnic Minority Education, Nanchang Institute of Science and Technology, Nanchang 330108, China) |
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| Abstract: | In this paper, we apply the homotopy perturbation method to find the two - order approximate solutions to coupled Burgers equations about time. The effectiveness of the method is illustrated by the figures of the approximate solutions and the exact solutions to integer order coupled Burgers equations drawn by the Maple software. It is showed that the method has small calculation quantity and high accuracy and can avoid complex discussions on the coeffi- cients. |
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| Keywords: | Homotopy perturbation method Fractional order coupled Burgers equation |
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