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同伦分析法求解Burgers方程的初边值问题 被引量：1

The Homotopy Analysis Method for Solving the Burgers Equation with Initial-Boundary Conditions
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摘要 采用同伦分析法求解了Burgers方程的一初边值问题,得到了它的近似解析解.在不同粘性系数情形下,对近似解与精确解进行了比较,发现在粘性系数不是非常小的情况下,用此方法得到的解析解与精确解符合地很好. In this paper, the Burgers equation with initial-boundary conditions was solved analyt ically, and approximately by the homotopy analysis method. The results obtained by this method for various values of viscosity have been compared with the exact solutions. It is found that they are in good agreement with each other when the viscosity is not very small.
作者 樊瑞宁
机构地区 兰州商学院信息工程学院
出处 《应用泛函分析学报》 CSCD 2014年第4期322-327,共6页 Acta Analysis Functionalis Applicata
基金 国家自然科学基金(71102118)
关键词 同伦分析法 BURGERS方程 解析解 homotopy analysis method Burgers equation analytical solution
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献16

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二级参考文献27

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共引文献33

同被引文献14

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应用泛函分析学报
2014年 第4期

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