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一维Burgers方程定解问题的同伦分析解

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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.
The Homotopy Approximation Solution of One-Dimensional Burgers'Equation with Initial and Boundary Conditions
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.

Burgers'equationhomotopy equationhomotopy approximation solution

姜伟、徐秋丽、刘军丽

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廊坊师范学院理学院,河北 廊坊 065000

Burgers方程 同伦方程 同伦分析解

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(8)