带参数微分方程边值问题的追赶法在流体力学中的应用

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Application of Shooting Methods for Two-Point Boundary Value Problems of Ordinary Differential Equations with Parameters in Hydrodynamics

摘要: 本文首先介绍带参数微分方程边值问题的追赶法(包括共轭方法及拟线性化方法),然后用追赶法计算流体力学润滑方程定解问题的一个实例.其数值结果比较满意.

Abstract: In this paper, first we introduce the shooting method(including the method of adjoints and the method of quasilinearization) for two-point boundary value problems of ordinary differential equations with parameters, and give out an example of solving hydrodynamic lubrication equation by using the shooting method. The calculated results are satisfactory.

[1]	Roberts,S,M,and J,S.Shipman,Two-Point Boundarg Iialut Problems Shooting Methods,Elsevier,New York(1972).
[2]	李兆华,参数微分方程两点边值问题最优化算法及其应用(I),高等学校计算数学学报,1(1980),54-63.
[3]	徐宝智、吴雄,关于参数微分方程两点边值问题的拟线性化方法,浙江大学学报,4(1983),81-96.
[4]	Kahlert,W.,Der Einflub der Tragheitskrafte bei der Hydrodynamischen Schmiermit-teltheorie Ingenieur-Archir,16(1948),321-342.

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