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

Guo Ben-tie; Ying Yu-yan; Chen Bang-guo; Xu Bao-zhi

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(3): 247-254

Guo Ben-tie, Ying Yu-yan, Chen Bang-guo, Xu Bao-zhi. Application of Shooting Methods for Two-Point Boundary Value Problems of Ordinary Differential Equations with Parameters in Hydrodynamics[J]. Applied Mathematics and Mechanics, 1985, 6(3): 247-254.

Citation:

PDF( 456 KB)

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

Zhejiang University, Hangzhou

Received Date: 1983-07-05
Publish Date: 1985-03-15

Abstract

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.

FullText(HTML)

References(4)

References

[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.