| 一类层流边界层方程的近似解 |
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| 引用本文： | 徐云滨,郑连存.一类层流边界层方程的近似解[J].河南科学,2013(12):2105-2107. |
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| 作者姓名： | 徐云滨 郑连存 |
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| 作者单位： | [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 |
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| 基金项目： | 国家自然科学基金（50476083）;陕西省教育厅中青年科技人才基金（09JK842）;榆林学院青年科技基金项目（13YK45） |
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| 摘 要： | 对连续运动平板边界层问题进行了研究，其中平板以线性速度运动．通过引入适当的相似变换和Crocco变量变换技巧，将原边界层方程转化为一类奇异非线性两点边界值问题．利用Adomian拆分法给出了方程的近似解和壁摩擦力的近似值，并给出了壁摩擦力的数值解，近似解的可靠性被数值解所证明，也说明了我们所用方法的可靠性和有效性．
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| 关 键 词： | 边界层 Adomian拆分 近似解 |
Approximate Solution of a Class of Laminar Boundary Layer Equations |
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| Xu Yunbin,Zheng Liancun.Approximate Solution of a Class of Laminar Boundary Layer Equations[J].Henan Science,2013(12):2105-2107. |
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| Authors: | Xu Yunbin Zheng Liancun |
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| Institution: | Department of Mathematics, Yulin University, Yulin 719000, Shaanxi China;Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China) |
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| Abstract: | A continuous moving flat boundary layer problems with a linear velocity distribution are studied. Boundary layer equations are changed into a class of singular nonlinear two-point boundary value problems by introducing appropriate similarity transformation and Crocco transformation technique. Approximate solution of equations and approximation of the skin friction are obtained using Adomian decomposition method, and numerical solution of the skin friction is given. The reliability of the approximate solution is verified using numerical solution. It shows the reliability and effinivence of the m~thad th.t A |
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| Keywords: | boundary layer Adomian decomposition method approximate solution |
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