| 变时间分数阶扩散方程的数值模拟 |
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| 引用本文： | 沈淑君. 变时间分数阶扩散方程的数值模拟[J]. 莆田高等专科学校学报, 2011, 0(5): 5-9 |
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| 作者姓名： | 沈淑君 |
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| 作者单位： | 华侨大学数学科学学院,福建泉州362021 |
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| 基金项目： | 国家自然科学基金资助项目（11001090）; 华侨大学科研启动基金资助项目（08BS507） |
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| 摘 要： | 考虑变时间分数阶扩散方程。首先利用分段线性插值法结合对一阶时间导数的一个二阶近似离散Coimbra变时间分数阶导数,然后利用Richardson外推法改进精度,最后用数值例子来验证提出的数值方法,从而说明数值方法的有效性。
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| 关 键 词： | 变时间分数阶扩散方程 Coimbra变分数阶导数 数值逼近 Richardson外推法 |
Numerical Simulation for the Variable Order Time Fractional Diffusion Equation |
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| SHEN Shu-jun. Numerical Simulation for the Variable Order Time Fractional Diffusion Equation[J]. Journal of Putian College, 2011, 0(5): 5-9 |
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| Authors: | SHEN Shu-jun |
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| Affiliation: | SHEN Shu-jun(School of Mathematical Sciences,Huaqiao University,Quanzhou Fujian 362021,China) |
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| Abstract: | In this paper,the variable order time fractional diffusion equation is considered.Numerical approximation scheme has been proposed,using the method of the piecewise linear interpolation join with a second-order approximation of the first order time derivative to discretize the Coimbra variable order time fractional derivative.Then,Richardson extrapolation method is used to obtain higher order accuracy.A numerical example has been presented to verify the numerical technique at last,which show the efficiency of the numerical method. |
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| Keywords: | variable order time fractional diffusion equation Coimbra variable order fractional derivative numerical approximation Richardson extrapolation |
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