一维Burgers方程定解问题的同伦分析解
The Homotopy Approximation Solution of One-Dimensional Burgers'Equation with Initial and Boundary Conditions
姜伟 1徐秋丽 1刘军丽1
作者信息
- 1. 廊坊师范学院理学院,河北 廊坊 065000
- 折叠
摘要
针对一类Burgers方程定解问题,以Burgers方程的线性部分作为辅助线性算子,构造出相应的同伦方程,给出了同伦方程的同伦分析解.与已有结果进行比较,该同伦分析解有更好的数值逼近效果,能反映出真实的物理现象.
Abstract
To solve class of Burgers'equation which has initial-boundary conditions in this paper,we had taken the linear part of the Burgers'equation as the auxiliary linear operator of homotopy equation,and had given the approximation solution and analysis of the na-ture of the solution.Compared with other results the homotopy approximation solution is better in physical properties and numerical approximation accuracy.
关键词
Burgers方程/同伦方程/同伦分析解Key words
Burgers'equation/homotopy equation/homotopy approximation solution引用本文复制引用
出版年
2024
NETL
NSTL
万方数据