非线性分数阶微分方程的Radau ⅡA方法  

Radau ⅡA Methods for Nonlinear Fractional Differential Equations

作　　者：曹学年[1] 王海燕[1] 

机构地区：[1]湘潭大学数学与计算科学学院,湘潭411105

出　　处：《系统仿真学报》2011年第10期2075-2078,共4页Journal of System Simulation

基　　金：湖南省科技厅科研项目(2010JT4054);国家自然科学基金(10871164,10971175)

摘　　要：基于Riemann-Liouville分数阶导数的Radau ⅡA方法高阶逼近格式,构造了求解非线性分数阶微分方程的Radau ⅡA方法,给出了方法的相容性、收敛性和稳定性分析。数值试验表明所构造的方法是有效的。Based on a high order approximation of Radau IIA methods for Riemann-Liouville fractional derivatives, a class of high order Radau IIA methods for solving nonlinear fractional differential equations were constructed. Consistency, convergence and stability analysis of these methods were given. Numerical experiments show that the proposed methods are efficient for solving nonlinear fractional differential equations.

关 键 词：分数阶微分方程 Radau IIA方法 相容性 收敛性 稳定性 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]