Burgers方程初边值问题的Laguerre函数谱配置方法  

Laguerre function spectral collocation method for the initial-boundary value problem of the Burgers equation

作　　者：张银柯[1] 张雅津 ZHANG Yinke;ZHANG Yajin(School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471003,China)

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471003

出　　处：《南阳师范学院学报》2025年第1期30-34,共5页Journal of Nanyang Normal University

基　　金：河南省自然科学基金项目(202300410156)。

摘　　要：以Laguerre-Gauss节点为配置点,用谱配置方法求解具有初边值的Burgers方程的数值解,并在时间方向运用Crank-Nicolson格式离散,给出算法格式,通过数值运算表明算法格式的有效性和高精度。Using Laguerre-Gauss nodes as collocation points,the spectral collocation method is applied to obtain the numerical solution of the Burgers equation with initial-boundary conditions.The Crank-Nicolson scheme is employed for time discretization and the algorithm’s formulation is provided.The effectiveness and high precision of the algorithm scheme are demonstrated by numerical calculation.

关 键 词：BURGERS方程 Laguerre多项式 谱配置方法 CRANK-NICOLSON格式 

分 类 号：O175.2[理学—数学]