| 一类时间分数阶延迟微分方程的数值解法 |
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| 引用本文： | 张艳敏,郭萍,段素芳. 一类时间分数阶延迟微分方程的数值解法[J]. 沈阳大学学报：自然科学版, 2014, 0(4): 342-344 |
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| 作者姓名： | 张艳敏 郭萍 段素芳 |
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| 作者单位： | 青岛理工大学琴岛学院,山东青岛266106 |
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| 基金项目： | 国家自然科学基金资助项目（11271101）. |
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| 摘 要： | 给出了一类时间分数阶延迟微分方程的一种数值解法,将传统的对时间的一阶导数利用α（0＜α＜1）阶导数来代替,证明了该格式的收敛性与稳定性,利用数值算例验证该方法是有效的.
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| 关 键 词： | 时间分数阶导数 延迟微分方程 无条件收敛 无条件稳定 |
A Numerical Method for Solving One Time Fractional Delay Differential Equation |
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| Zhang Yanmin,Guo Ping,Duan Sufang. A Numerical Method for Solving One Time Fractional Delay Differential Equation[J]. Journal of Shenyang University, 2014, 0(4): 342-344 |
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| Authors: | Zhang Yanmin Guo Ping Duan Sufang |
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| Affiliation: | (Qindao College, Qingdao Technological University, Qingdao 266106, China) |
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| Abstract: | A numerical method is presented to solve one time fractional delay differential equation, the first order derivative is replaced by a fractional derivative of order a（0〈a〈1）. It is proved that the difference scheme is unconditional stable and unconditional convergence. Numerical example shows that the numerical method is a practical method. |
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| Keywords: | time fractional derivative delay differential equation unconditional convergence unconditional stable |
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