| 一类分数阶多项延迟微分方程的Jacobi谱配置方法 |
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| 引用本文： | 杨水平.一类分数阶多项延迟微分方程的Jacobi谱配置方法[J].计算数学,2017,39(1):98-114. |
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| 作者姓名： | 杨水平 |
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| 作者单位： | 惠州学院数学系, 惠州 516007 |
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| 基金项目： | 国家自然科学基金（11501238）、广东省自然科学基金（2016A030313119，2014A030313641）、惠州学院自然科学基金（hzuxl201420）资助项目. |
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| 摘 要： | 本文利用Jacobi谱配置方法数值求解了一类分数阶多项延迟微分方程,并证明了该方法是收敛的,通过若干数值算例验证了相应的理论结果,结果表明Jacobi谱配置方法求解这类方程是非常高效的,同时也为这类分数阶延迟微分方程的数值求解提供了新的选择,对分数阶泛函方程的数值方法的研究有一定的指导意义.
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| 关 键 词： | 分数阶多项延迟微分方程 Jacobi配置方法 误差分析 |
JACOBI SPECTRAL COLLOCATION METHOD FOR SOLVING A CLASS OF FRACTIONAL MULTI-DELAY DIFFERENTIAL EQUATIONS |
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| Yang Shuiping.JACOBI SPECTRAL COLLOCATION METHOD FOR SOLVING A CLASS OF FRACTIONAL MULTI-DELAY DIFFERENTIAL EQUATIONS[J].Mathematica Numerica Sinica,2017,39(1):98-114. |
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| Authors: | Yang Shuiping |
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| Institution: | Department of mathematics, Huizhou Univerisity, Huizhou 516007, China |
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| Abstract: | In this paper,we study Jacobi spectral collocation method for solving the initial value problem (IVP) of a class of fractional multi-delay differential equations.The convergence of the method for this problem is obtained.Some illustrative examples verify our theoretical results successfully.The results of this paper may provide a new good choice for solving fractional delay differential equations.It is believed that these results will be helpful for the further researches on numerical solutions of fractional functional differential equations. |
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| Keywords: | fractional multi-delay differential equations Jacobi spectral collocation method error analysis |
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