Fourier spectral method for periodic fractional conservation laws with smooth solutions

机译：具有光滑解的周期分数守恒律的傅里叶谱方法

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In this work, a Fourier spectral method for a periodic fractional conservation law with smooth solutions is analyzed. The equation is discretized in space by the standard Fourier-Galerkin spectral method and in time by fourth-order integrating factor-Runge-Kutta method. The error estimates of the space semi-discrete scheme is rigorously established. The numerical results further conˉrm the spectral accuracy in space and fourth-order convergence in time.

机译：在这项工作中，分析了具有光滑解的周期分数守恒律的傅立叶谱方法。该方程通过标准傅里叶-加勒金谱方法在空间上离散，而在时间上通过四阶积分因子-Runge-Kutta方法离散。严格建立了空间半离散方案的误差估计。数值结果进一步证实了空间中的光谱精度和时间上的四阶收敛性。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-6|共6页
会议地点 Nanjing(CN)
作者
Can Li; Weihua Deng;
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作者单位

School of Mathematics and Statistics, Lanzhou University,Lanzhou 730000, P.R. China;

School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, P.R. China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
fractional conservation laws; Fourier spectral method.;

机译：分数守恒律;傅立叶光谱法;

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4. Fourier spectral method for periodic fractional conservation laws with smooth solutions [C] . Can Li, Weihua Deng Symposium on fractional differentiation and its applications . 2012

机译：具有光滑解决方案的周期性分数保护法的傅立叶光谱法
5. Stability analysis of periodic solutions of viscous conservation laws. [D] . Oh, Myunghyun. 2001

机译：粘性守恒定律周期解的稳定性分析。
6. On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions [O] . Banu Ünalmış Uzun -1

机译：关于几乎周期函数的分数傅里叶和连续分数波包变换
7. On the spectral vanishing viscosity method for periodic fractional conservation laws [O] . Simone Cifani, Espen R. Jakobsen 2013

机译：关于周期分数守恒定律的光谱消失粘度法

Fourier spectral method for periodic fractional conservation laws with smooth solutions

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