Adomian分解方法在一类层流边界层问题中的应用

Hongjun Li, B. Cheng, Wei-min Kang
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引用次数: 2

摘要

本文给出了流体力学中层流边界层问题的数学模型。与Navier-Stokes方程相比,这个边界层方程得到了极大的简化。然而,它仍然是一个二阶非线性偏微分方程组,保留了方程的非线性性质,这使得用数学方法求解方程相当困难。本文利用Adomian分解法结合数学软件,得到了该方程满足边界条件的近似解析解。因此,它表明符号操作是可访问的阿多米安分解方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of Adomian Decomposition Method in Laminar Boundary Layer Problems of a Kind
This paper provides a mathematical model of laminar boundary layer problem in hydrodynamics. Compared to the Navier-Stokes equation, this boundary layer equation has been tremendously simplified. Yet it remains a second-order nonlinear partial differential equations set with the nonlinear nature of equations retained, which makes it fairly difficult to solve the equation mathematically. This paper acquires the approximate analytical solution of the equation which satisfies boundary conditions by using Adomian Decomposition Method combined with Mathematic software. Thus, it shows that symbolic operations are accessible to the Adomian Decomposition Method.
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