| 空间四阶的时间亚扩散方程的有限差分方法 |
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| 引用本文： | 郭建,李常品,丁恒飞.空间四阶的时间亚扩散方程的有限差分方法[J].应用数学与计算数学学报,2014(1):96-108. |
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| 作者姓名： | 郭建 李常品 丁恒飞 |
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| 作者单位： | 上海大学理学院 |
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| 基金项目： | 国家自然科学基金资助项目(11372130);上海市教育委员会科研创新重点资助项目(12ZZ084) |
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| 摘 要： | 提出了两个求解空间四阶的时间亚扩散方程的数值方法,其误差阶分别为O（τ＋h2）和O（τ2＋h2）.通过Fourier方法,发现两个差分格式均为无条件稳定的.最后,通过数值例子,验证了两个算法的有效性.
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| 关 键 词： | 分数阶 Fourier方法 亚扩散方程 有限差分方法 |
Finite difference methods for time subdiffusion equation with space fourth-order |
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| GUO Jian;LI Chang-pin;DING Heng-fei.Finite difference methods for time subdiffusion equation with space fourth-order[J].Communication on Applied Mathematics and Computation,2014(1):96-108. |
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| Authors: | GUO Jian;LI Chang-pin;DING Heng-fei |
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| Institution: | GUO Jian;LI Chang-pin;DING Heng-fei;College of Sciences,Shanghai University; |
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| Abstract: | Two numerical schemes for a time subdiffusion equation with space fourth-order are proposed, and the convergence orders are O（τ＋h2） and O（τ2＋h2）, respectively. By using the Fourier method, it is found that two finite difference schemes are all unconditionally stable. Finally, numerical examples are given to testify the efficiency of the numerical schemes. |
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| Keywords: | fractional order Fourier method subdiffusion equation finite difference method |
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