Convergence of a p-version/hp-version method for fractional differential equations

Convergence of a p-version/hp-version method for fractional differential equations
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分数阶微分方程 p 版本/hp 版本方法的收敛性

DOI:
10.1016/j.jcp.2015.01.025
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发表时间:
2015
影响因子:
4.1
通讯作者:
Zhang Zhimin
Zhang Zhimin
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Huang Can;Zhang Zhimin

文献摘要

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最近,M。Zayernouri和G.E. Karniadakis(2014)[10]提出了一种新的分数阶微分方程谱方法,并观察到指数收敛速度。在本文中,我们将证明他们的谱方法的收敛速度,从而为他们的观察提供一个解释。
Recently, M. Zayernouri and G.E. Karniadakis (2014) [10] proposed a new spectral method for fractional differential equations and observed an exponential rate of convergence. In this paper, we will prove a convergence rate of their spectral method and thus, provide an explanation for their observations.