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时间分数阶Klein-Gordon型方程的解析近似解
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科技导报 |专题论文 2009 , 27 (0902) : 47 -52
时间分数阶Klein-Gordon型方程的解析近似解
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郭鹏1,王艺红1,2,陶春兴1,3,李常品1
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    1.上海大学 数学系2.浙江林业大学数学系3.越南河内矿业地址大学数学系
通讯作者:
李常品
An Approximate Analytical Solution to the Family of Time Fractional Klein-Gordon Equations
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    出版时间: 2009-01-28
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    采用Adomian分裂方法,给出在Caputo导数意义下的时间分数阶Klein-Gordon方程的解析近似解,并举例说明了Adomian分裂方法在求解上的高效性,通过4个表给出的近似解和精确解的误差,可以看出Adomian分裂方法在求解时间分数阶Klein-Gordon方程时能得到很高的精度。
    近似解析解  /  Adomian分裂方法  /  Klein-Gordon方程  /  Caputo导数
    In this paper, the Adomian decomposition method is used to obtain an approximate analytical solution to the time fractional Klein-Gordon equation, where the fractional derivatives are in Caputo sense. Some examples are given to show the efficiency of the method, the approximate solution and exact solution of the error are given by four tables, and it is shown that the Adomian decomposition method in solving the time fractional Klein-Gordon equation can be very high precision.
    郭鹏;王艺红;陶春兴;李常品. 时间分数阶Klein-Gordon型方程的解析近似解. 科技导报, 2009 , 27 (0902) : 47 -52 .
    . An Approximate Analytical Solution to the Family of Time Fractional Klein-Gordon Equations[J]. Science & Technology Review, 2009 , 27 (0902) : 47 -52 .

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