Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations
Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations
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DOI：
10.1080/00207160.2013.841901
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发表时间：
2014-07
影响因子：
1.8
通讯作者：
Lijun Yi;Zhong-qing Wang
中科院分区：
文献类型：
--
作者：
Lijun Yi;Zhong-qing Wang
提出了求解常微分方程的新的Legendre-Gauss配置算法。我们还设计了Legendre-Gauss型配置算法求解非线性时变偏微分方程。所提出的算法在时间和空间上都具有频谱精度，并且可以快速稳定地实现。数值结果表明了该方法的有效性。
We propose new Legendre–Gauss collocation algorithms for ordinary differential equations. We also design Legendre–Gauss-type collocation algorithms for time-dependent nonlinear partial differential equations. The suggested algorithms enjoy spectral accuracy in both time and space, and can be implemented in a fast and stable manner. Numerical results exhibit the effectiveness.