Legendre spectral collocation method for second-order nonlinearordinary/partial differential equations
Legendre spectral collocation method for second-order nonlinearordinary/partial differential equations
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DOI：
10.3934/dcdsb.2014.19.299
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发表时间：
2013-12
影响因子：
1.2
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
提出了一种求解二阶非线性常微分方程的Legendre-Gauss配置算法。我们还设计了一个Legendre-Gauss型配置算法的时间依赖的二阶非线性偏微分方程（PDE），它可以实现在一个同步并行的方式。数值结果表明了算法的高精度和有效性。
We propose an efficient Legendre-Gauss collocation algorithm for second-order nonlinear ordinary differential equations (ODEs). We also design a Legendre-Gauss-type collocation algorithm for time-dependent second-order nonlinear partial differential equations (PDEs), which can be implemented in a synchronous parallel fashion. Numerical results indicate the high accuracy and effectiveness of the suggested algorithms.