| 微分变换方法求解时间和空间同时带分数阶导数的耦合Burgers方程组 |
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| 引用本文： | 马维元,刘露.微分变换方法求解时间和空间同时带分数阶导数的耦合Burgers方程组[J].宁夏师范学院学报,2011,32(3):23-29. |
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| 作者姓名： | 马维元 刘露 |
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| 作者单位： | 西北民族大学数学与计算机科学学院,甘肃兰州,730030 |
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| 摘 要： | 首先介绍了Caputo分数阶导数的定义及广义的二维微分变换方法,然后应用微分变换方法求解时间和空间带分数阶导数的耦合Burgers方程组,最后通过一些实例说明应用微分变换方法求解分数阶耦合Burgers方程组是可靠的和有效的.
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| 关 键 词： | 分数阶耦合Burgers方程组 分数阶导数 微分变换方法 |
Numerical Solutions of the Time and Space-fractional Coupled Burgers Equations by Differential Transform Method |
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| MA Weiyuan,LIU Lu.Numerical Solutions of the Time and Space-fractional Coupled Burgers Equations by Differential Transform Method[J].Journal of Ningxia Teachers College,2011,32(3):23-29. |
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| Authors: | MA Weiyuan LIU Lu |
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| Institution: | (School of Mathematics and Computer Science,Lanzhou,Gansu 730030) |
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| Abstract: | In this paper,by introducing the fractional derivative in the sense of Caputo,the generalized two-dimensions differential transform method（DTM） is applied to solve the coupled Burgers equations with space and time-fractional derivatives.Obviously,the nume |
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| Keywords: | Fractional coupled Burgers equations Caputo fractional derivative Differential transform method |
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