| 一维分数阶渗透方程的有限差分逼近 |
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| 引用本文： | 陈世平,施伟民.一维分数阶渗透方程的有限差分逼近[J].泉州师范学院学报,2009,27(4):1-3. |
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| 作者姓名： | 陈世平 施伟民 |
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| 作者单位： | 泉州师范学院,理工学院,福建,泉州,362000 |
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| 摘 要： | 考虑一个含有变系数的一维分数阶渗透方程．为了求解该方程，建立了一个有限差分方法，并探讨该方法的稳定性、相容性和收敛性，最后给出一个含有准确解的数值例子以验证该方法的有效性．
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| 关 键 词： | 分数阶渗透方程 相容性 稳定性 收敛性 |
Finite-difference Approximation for One-dimensional Fractional Percolation Equation |
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| CHEN Shi-ping,SHI Wei-min.Finite-difference Approximation for One-dimensional Fractional Percolation Equation[J].Journal of Quanzhou Normal College,2009,27(4):1-3. |
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| Authors: | CHEN Shi-ping SHI Wei-min |
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| Institution: | CHEN Shi-ping,SHI Wei-min (School of Science,Quanzhou Normal University,Fujian 362000,China) |
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| Abstract: | In this paper,an one-dimensional fractional percolation equation with variable coefficients is considered.For solving the equation,a finite-difference method is established.Stability,consistency and convergence of the method is examined.A numerical example with known exact solution is also presented to show that the method is effective. |
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| Keywords: | fractional percolation equation consistency stability convergence |
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