An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system
An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system
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DOI：
10.1016/j.amc.2014.08.062
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发表时间：
2014-11-15
影响因子：
4
通讯作者：
Bhrawy, A. H.
中科院分区：
文献类型：
--
作者：
Bhrawy, A. H.
本文给出了一种有效的谱配置算法，用于数值求解具有初边值条件的非线性复广义Zakharov系统。研究了GZS的空间近似的Jacobi赝谱近似。它在空间上具有光谱精度。建立了处理边界条件的Jacobi-Gauss-Lobatto求积规则，将边界条件问题归结为一个含时间变量的常微分方程组。这个方案的优点是我们可以根据雅可比参数α和β得到谱解，这意味着该算法将一些配置方法作为特例。最后，通过两个算例验证了雅可比拟谱格式的有效性和高精度。(C)2014 Elsevier Inc.保留所有权利。
In this paper, we derive an efficient spectral collocation algorithm to solve numerically the nonlinear complex generalized Zakharov system (GZS) subject to initial-boundary conditions. The Jacobi pseudospectral approximation is investigated for spatial approximation of the GZS. It possesses the spectral accuracy in space. The Jacobi-Gauss-Lobatto quadrature rule is established to treat the boundary conditions, and then the problem with its boundary conditions is reduced to a system of ordinary differential equations in time variable. This scheme has the advantage of allowing us to obtain the spectral solution in terms of the Jacobi parameters alpha and beta, which therefore means that the algorithm holds a number of collocation methods as special cases. Finally, two illustrative examples are implemented to assess the efficiency and high accuracy of the Jacobi pseudo-spectral scheme. (C) 2014 Elsevier Inc. All rights reserved.