一维Burgers方程定解问题的同伦分析解  

The Homotopy Approximation Solution of One-Dimensional BurgersEquation with Initial and Boundary Conditions

作　　者：姜伟 徐秋丽 刘军丽 JIANG Wei;XU Qiuli;LIU Junli(College of Science,Langfang Normal University,Langfang 065000,China)

机构地区：[1]廊坊师范学院理学院,河北廊坊065000

出　　处：《长春师范大学学报》2024年第8期8-11,34,共5页Journal of Changchun Normal University

基　　金：河北省省属高等学校基本科研业务费研究项目“熵数估计、环与Hopf代数及其相关联的代数组合结构”(JYT202102)。

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.To solve class of Burgersequation which has initial-boundary conditions in this paper,we had taken the linear part of the Burgersequation as the auxiliary linear operator of homotopy equation,and had given the approximation solution and analysis of the nature 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 

分 类 号：O241.8[理学—计算数学]