配置方法求多阶的分数阶常微分方程的数值解  

Numerical Solution of Multi-order Fractional Ordinary Differential Equations by Collocation Method

作　　者：张晓娟[1] 王婧[1] 

机构地区：[1]华北水利水电学院,河南郑州450011

出　　处：《华北水利水电学院学报》2010年第3期100-102,共3页North China Institute of Water Conservancy and Hydroelectric Power

摘　　要：采用配置样条方法,以多项式样条函数的形式得出多阶的分数阶常微分方程的数值解,通过比较数值解与精确解的结果证实了此方法是求解分数阶方程的一种有效数值算法.Numerical solution of the multi-order ordinary differential equation of fractional order,which is in the form of polynomial spline function,is solved by the collocation spline method,and the result of the comparison of the accurate and numerical solution shows that the collocation method is an effective numerical method for solving fractional equations.

关 键 词：配置方法 多阶的分数阶常微分方程 CAPUTO分数阶导数 样条空间 

分 类 号：O241.81[理学—计算数学]