几类分数阶多项比例延迟微分方程的Jacobi配置方法  

Jacobi Collocation Method of Some Classes of Fractional Multi-Pantograph Delay Differential Equations

作　　者：杨水平[1] 

机构地区：[1]惠州学院数学与大数据学院,广东惠州516007

出　　处：《应用数学》2017年第3期512-524,共13页Mathematica Applicata

基　　金：国家自然科学基金(11501238;11401248);广东省自然科学基金(2016A030313119;2014A030313641;2015A030310410)

摘　　要：本文利用Jacobi配置方法数值求解几类分数阶多项比例延迟微分方程初值问题,给出相应的误差分析,并利用若干数值算例验证了相应的理论结果,表明Jacobi配置方法求解这几类分数阶比例延迟方程是高效的.同时,也为分数阶泛函微分方程的数值算法提供新的研究思路.In this paper, we study Jacobi collocation method for solving the initial value problem（IVP） of some classes of fractional multi-pantograph delay differential equations. The convergence results of the method for solving these problems are obtained. Some illustrative examples verify our theoretical results successfully. It is believed that the results of this paper will be useful for further researches on numerical solutions of fractional functional differential equations.

关 键 词：分数阶多项比例延迟微分方程 Jacobi配置方法 误差分析 

分 类 号：O241.81[理学—计算数学]