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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/23761

Title: A two-stage LGSM for three-point BVPs of second-order ODEs
Authors: Chein-Shan Liu
Contributors: NTOU:Department of Mechanical and Mechatronic Engineering
國立臺灣海洋大學:機械與機電工程學系
Date: 2008-05
Issue Date: 2011-10-20T08:08:10Z
Publisher: Boundary Value Problems
Abstract: Abstract:The study in this paper is a numerical integration of second-order three-point boundary value problems under two imposed nonlocal boundary conditions at , , and in a general setting, where . We construct a two-stage Lie-group shooting method for finding unknown initial conditions, which are obtained through an iterative solution of derived algebraic equations in terms of a weighting factor . The best is selected by matching the target with a minimal discrepancy. Numerical examples are examined to confirm that the new approach has high efficiency and accuracy with a fast speed of convergence. Even for multiple solutions, the present method is also effective to find them.
Relation: Boundary Value Problems 2008, 2008:963753
URI: http://ntour.ntou.edu.tw/handle/987654321/23761
Appears in Collections:[機械與機電工程學系] 期刊論文

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