求解一类分数阶微分方程终值问题的混合配置法  

Hybrid Collocation Method for Solving Terminal Value Problems of a Class of Fractional Differential Equations

作　　者：王林君[1] 吴燕 刘梦雪[1] 孟义平 曹明钰 WANG Linjun;WU Yan;LIU Mengxue;MENG Yiping;CAO Mingyu(School of Science,Jiangsu University,Zhejiang 212013,Jiangsu Province,China;School of Science,Jiangsu University of Science and Technology,Zhejiang 212013,Jiangsu Province,China;College of Mathematics,Jilin University,Changchun 130012,China)

机构地区：[1]江苏大学理学院,江苏镇江212013 [2]江苏科技大学理学院,江苏镇江212003 [3]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2018年第4期897-900,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11601192);江苏科技大学校管科研项目;江苏大学科研立项项目(批准号:16A292)

摘　　要：考虑一类分数阶微分方程终值问题的混合配置法.先基于打靶法,把分数阶微分方程终值问题转化为初值问题;再应用分数阶微分方程初值问题的理论结果,给出求解终值问题的混合配置算法;最后通过数值模拟验证该方法求解分数阶微分方程终值问题的有效性.We considered a hybrid collocation method for solving terminal value problems of a class of fractional differential equations.Firstly,based on shooting method,we converted terminal value problems of fractional differential equations to initial value problems.Secondly,using the theoretical results of the initial value problems of fractional differential equations,we gave a hybrid collocation method for solving the terminal value problems.Finally,we verified the validity of the method to solve terminal value problems of fractional differential equations by numerical simulation.

关 键 词：分数阶微分方程 终值问题 混合配置法 

分 类 号：O241.8[理学—计算数学]