Burgers方程的时空Legendre谱配置方法
Space-Time Legendre Spectral Collocation Methods for Burgers Equation
DOI: 10.12677/AAM.2021.104147, PDF,  被引量    国家自然科学基金支持
作者: 宋 健, 王天军, 霍金键：河南科技大学数学与统计学院，河南 洛阳
关键词: Burgers方程；初边值问题；时空Legendre谱配置法；Burgers Equation； Initial-Boundary Value Problems； Space-Time Legendre Spectral Collocation Method
摘要: 利用Legendre-Gauss-Lobatto节点为配置点，构造Burgers方程初边值问题的时空Legendre谱配置格式。即在时间和空间方向都用Lagrange插值多项式将其化为非线性方程组，数值实验证明了所提算法格式的有效性和高精度。
Abstract: A Legendre spectral collocation scheme is constructed for Burgers equation by using the Legendre collocation method in time and space, which is a nonlinear system using Lagrange interpolation polynomials. Numerical results demonstrate the efficiency and high accuracy of the proposed algorithm.
文章引用：宋健, 王天军, 霍金键. Burgers方程的时空Legendre谱配置方法[J]. 应用数学进展, 2021, 10(4): 1380-1386. https://doi.org/10.12677/AAM.2021.104147

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