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一类分数阶多项延迟微分方程的Jacobi谱配置方法

本站小编 Free考研考试/2021-12-27

杨水平
惠州学院数学系, 惠州 516007
收稿日期:2016-07-21出版日期:2017-02-15发布日期:2017-02-17


基金资助: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.


JACOBI SPECTRAL COLLOCATION METHOD FOR SOLVING A CLASS OF FRACTIONAL MULTI-DELAY DIFFERENTIAL EQUATIONS

Yang Shuiping
Department of mathematics, Huizhou Univerisity, Huizhou 516007, China
Received:2016-07-21Online:2017-02-15Published:2017-02-17







摘要



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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.
MR(2010)主题分类:
34K28

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