Adomian拆分法求解胀塑性流体边界层方程近似解

计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (8): 45-47.

Adomian拆分法求解胀塑性流体边界层方程近似解

徐云滨1，郑连存2，王磊磊1

1.榆林学院数学系，陕西榆林 719000
2.北京科技大学数力系，北京 100083

出版日期:2014-04-15 发布日期:2014-05-30

Approximate solution of boundary layer equations arising in dilatant fluids by using Adomian decomposition method

XU Yunbin1, ZHENG Liancun2, WANG Leilei1

1.Department of Mathematics, Yulin University, Yulin, Shaanxi 719000, China
2.Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China

Online:2014-04-15 Published:2014-05-30

摘要/Abstract

摘要： 利用Adomian拆分方法及Mathematica软件的符号计算功能求解了一类胀塑性非牛顿流体边界层方程的近似解，对不同的参数给出了壁摩擦力的近似值及解的分布曲线，数值结果表明所得近似解有相当高的精度。

关键词: 边界层, 胀塑性非牛顿流体, 近似解, Adomian拆分法

Abstract: Approximate solution of a class of boundary layer equations arising in dilatant non-Newtonian fluids is obtained by using Adomian decomposition method and Mathematica symbols calculation software. Approximation of the skin friction and the distribution curve of solutions are given for different parameters. The reliability and efficiency of the approximate solution are verified using numerical solutions.

Key words: boundary layer, dilatant non-Newtonian fluids, approximate solution, Adomian decomposition method

徐云滨1，郑连存2，王磊磊1. Adomian拆分法求解胀塑性流体边界层方程近似解[J]. 计算机工程与应用, 2014, 50(8): 45-47.

XU Yunbin1, ZHENG Liancun2, WANG Leilei1. Approximate solution of boundary layer equations arising in dilatant fluids by using Adomian decomposition method[J]. Computer Engineering and Applications, 2014, 50(8): 45-47.

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