摘要
对时间分数阶中立型时滞微分方程给出了一种数值解法,证明了当分数阶导数为α(0<α<1)时,其差分格式是无条件收敛和稳定的,数值算例也验证了该格式的实用性.
A numerical method was given to solve time fractional neutral delay differential equation. When the fractional derivative was order of a(0〈a〈1), and proved the difference schemes were unconditional stable and convergence. Numerical example showed that the numerical method was a practical method.
出处
《山东理工大学学报(自然科学版)》
CAS
2014年第4期25-27,共3页
Journal of Shandong University of Technology:Natural Science Edition
基金
国家自然科学基金资助项目(11271101)
关键词
时间分数阶
时滞
中立型微分方程
无条件收敛
无条件稳定
time fractional
delay
neutral differential equation
unconditional convergence
unconditional stable