| 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： | 刘明鼎,张艳敏.一类时间分数阶延迟微分方程的数值解法[J].河南科学,2014(9):1688-1691. |
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| 作者姓名： | 刘明鼎 张艳敏 |
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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 |
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| 摘 要： | 给出了求解一类时间分数阶时滞微分方程的数值解法,将传统对时间的一阶导数利用分数阶导数α(0α1)阶导数代替,给出了求解微分方程的差分格式,并对差分格式证明了收敛性和稳定性,数值算例检验该格式解决此类方程是有效的.
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| 关 键 词： | 时间分数阶 延迟微分方程 无条件收敛 无条件稳定 |
A Numerical Method for Solving a Class of Time Fractional Delay Differential Equation |
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| Liu Mingding,Zhang Yanmin.A Numerical Method for Solving a Class of Time Fractional Delay Differential Equation[J].Henan Science,2014(9):1688-1691. |
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| Authors: | Liu Mingding Zhang Yanmin |
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| Institution: | (Qindao College, Qingdao Technological University, Qingdao 266106, Shandong China ) |
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| Abstract: | A numerical method is gived to solve one time fractional delay differential equation,the fractional derivative, order of α（0〈α〈1） ,is used to instead of first derivative,then we give a difference scheme and prove that the difference schemes are stable and convergence. Numerical example shows that the numerical method is a practical method. |
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| Keywords: | time fractional delay differential equation unconditional convergence unconditional stable |
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