一类分数阶常微分方程的数值解

Numerical Solutions for a Class of Fractional Ordinary Differential Equations

针对一类分数阶常系数线性常微分方程,基于降阶的思想,通过转换将其转化为低阶的分数阶方程组的形式,构造了一种新的数值解法,给出了具体的计算格式,并通过数值算例验证了算法的有效性.

The numerical solution of a class of fractional differential equations was obtained by reduc tion of the problem to a system of fractional differential equations. Numerical examples were given to il lustrate the high efficiency of the method.