基于广义KdV-Burgers方程的全对角化Chebyshev Dual-Petrov-Galerkin谱方法  

Fully Diagonalized Chebyshev Dual-Petrov-Galerkin Spectral Method of Generalized KdV-Burgers Equation

作　　者：安筱 李珊[1] AN Xiao;LI Shan(College of Science,University of Shanghai for Science and Technology,Shanghai 200093)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《计算机与数字工程》2025年第3期628-631,共4页Computer & Digital Engineering

基　　金：上海市自然科学基金项目(编号:22ZR1443800);上海市科技计划项目扬帆计划Shanghai Sailing Program(编号:22YF1430600)资助。

摘　　要：针对有限区域上广义KdV-Burgers方程,提出了全对角化的Chebyshev dual-Petrov-Galerkin谱方法。该方法在数值模拟KdV-Burgers方程的扭结波解时是准确有效的,数值结果表明了该方法的精确性和高效性,且与以往算法相比,新算法优化了计算过程,减少了计算量,并且简单易行。A fully diagonalized Chebyshev dual-Petrov-Galerkin spectral method is proposed for the generalized KdV-Burgers equation in a finite region.This method is accurate and effective in the kink wave solution of the numerical model KdV-Burgers equation.The numerical results show the accuracy and efficiency of this method.Compared with the previous algorithm,the new algorithm optimizes the calculation process,reduces the amount of calculation,and is simple and easy to operate.

关 键 词：Chebyshev dual-Petrov-Galerkin谱方法 全对角化 KdV-Burgers方程 数值结果 

分 类 号：O241[理学—计算数学]