| 求解一类分数阶微分方程终值问题的混合配置法 |
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| 引用本文： | 王林君,吴燕,刘梦雪,孟义平,曹明钰.求解一类分数阶微分方程终值问题的混合配置法[J].吉林大学学报(理学版),2018,56(4):897-900. |
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| 作者姓名： | 王林君 吴燕 刘梦雪 孟义平 曹明钰 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 分数阶微分方程 终值问题 混合配置法 |
| 收稿时间： | 2018-01-29 |
Hybrid Collocation Method for Solving Terminal Value Problemsof a Class of Fractional Differential Equations |
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| WANG Linjun,WU Yan,LIU Mengxue,MENG Yiping,CAO Mingyu.Hybrid Collocation Method for Solving Terminal Value Problemsof a Class of Fractional Differential Equations[J].Journal of Jilin University: Sci Ed,2018,56(4):897-900. |
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| Authors: | WANG Linjun WU Yan LIU Mengxue MENG Yiping CAO Mingyu |
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| Institution: | 1. School of Science, Jiangsu University, Zhenjiang 212013, Jiangsu Province, China;2. School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu Province, China;3. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | 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 thetheoretical 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. |
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| Keywords: | terminal value problem fractional differential equation hybrid collocation method |
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