分数阶常微分方程的梯形算法

Trapezoidal Method for Fractional Differential Equations

研究分数阶常微分方程的数值算法.建立了基于Caputo分数阶导数的初值问题的梯形算法,并利用这类方程与第二类Voltta积分方程的等价性对误差进行了理论分析.通过数值实验,验证了算法的收敛阶及误差。

A trapezoidal method is introduced to solve a class of initial value problems of fractional differen-tial equations （FDEs） with Caputo derivatives. It is verified to be stable and efficient by the error analysis and numerical experiments. Convergence orders are also given in numerical examples.