Korteweg-De Vries方程的Legendre时空谱配置方法  

Space-Time Legendre Spectral Collocation Methods for Korteweg-De Vries Equation

作　　者：王川 乔炎 WANG Chuan;QIAO Yan(School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471000,China)

机构地区：[1]School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471000,China

出　　处：《Chinese Quarterly Journal of Mathematics》2023年第4期392-400,共9页数学季刊（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11771299,11371123);Natural Science Foundation of Henan Province(Grant No.202300410156).

摘　　要：A Legendre-Legendre spectral collocation scheme is constructed for Korteweg-de Vries(KdV)equation on bounded domain by using the Legendre collocation method in both time and space,which is a nonlinear matrix equation that is changed to a nonlinear systems and can be solved by the usual fixed point iteration.Numerical results demonstrate the efficiency of the method and spectral accuracy.

关 键 词：Korteweg-de Vries equation Space-time Legendre spectral collocation method Initial-boundary value problem 

分 类 号：O175.2[理学—数学]