青岛大学学报(自然科学版)2013,Vol.26Issue(1):11-15,43,6.DOI:10.3969/j.issn.1006-1037.2013.02.03
分数阶常微分方程的梯形算法
Trapezoidal Method for Fractional Differential Equations
摘要
Abstract
A trapezoidal method is introduced to solve a class of initial value problems of fractional differential 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.关键词
分数阶微分方程/Caputo导数/梯形法/误差分析Key words
fractional differential equations/trapezoidal method/Caputo derivative/error analysis分类
数理科学引用本文复制引用
吴迎,黄健飞,赵维加,张厚斌..分数阶常微分方程的梯形算法[J].青岛大学学报(自然科学版),2013,26(1):11-15,43,6.基金项目
国家自然科学基金项目资助,编号11072120. ()