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

安筱 李珊

计算机与数字工程2025,Vol.53Issue(3):628-631,4.
计算机与数字工程2025,Vol.53Issue(3):628-631,4.DOI:10.3969/j.issn.1672-9722.2025.03.003

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

安筱 1李珊1

作者信息

  • 1. 上海理工大学理学院 上海 200093
  • 折叠

摘要

Abstract

A fully diagonalized Chebyshev dual-Petrov-Galerkin spectral method is proposed for the generalized KdV-Burg-ers 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 al-gorithm 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

Key words

Chebyshev dual-Petrov-Galerkin spectral method/fully diagonalized/KdV-Burgers equation/numerical re-sults

分类

数理科学

引用本文复制引用

安筱,李珊..基于广义KdV-Burgers方程的全对角化Chebyshev Dual-Petrov-Galerkin谱方法[J].计算机与数字工程,2025,53(3):628-631,4.

基金项目

上海市自然科学基金项目(编号:22ZR1443800) (编号:22ZR1443800)

上海市科技计划项目扬帆计划Shanghai Sailing Program(编号:22YF1430600)资助. (编号:22YF1430600)

计算机与数字工程

1672-9722

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