The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem

The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem

碩士 === 國立新竹教育大學 === 數學教育學系碩士班 === 93 === This thesis investigates the turning points, bifurcation points and solution branches of nonlinear ordinary differential equations with the boundary-values. First, we use shooting method and newton’s interative method to calculate the bifurcation points o...

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Main Author: 林慧芬
Other Authors: 簡國清
Format: Others
Language:zh-TW
Published: 2005
Online Access:http://ndltd.ncl.edu.tw/handle/02775205771100155891
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spelling ndltd-TW-093NHCT54800492015-10-13T11:12:50Z http://ndltd.ncl.edu.tw/handle/02775205771100155891 The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem 非線性邊界值問題分歧點計算及其解路徑延拓 林慧芬 碩士 國立新竹教育大學 數學教育學系碩士班 93 This thesis investigates the turning points, bifurcation points and solution branches of nonlinear ordinary differential equations with the boundary-values. First, we use shooting method and newton’s interative method to calculate the bifurcation points or turning points.We use implicit function theorem as the foundation to quote the numerical method of the Liapunov-Schmidt reduction method, pseudo-archength continuation method, secant-predictor method, and Newton’s interative method,to continue all solution branches from bifurcation points. Finally, we change one of the parameters and fix the others to find the bifurcation phenomenon, and the changes of bifurcation points and turning points. 簡國清 2005 學位論文 ; thesis 159 zh-TW
collection NDLTD
language zh-TW
format Others
sources NDLTD
description 碩士 === 國立新竹教育大學 === 數學教育學系碩士班 === 93 === This thesis investigates the turning points, bifurcation points and solution branches of nonlinear ordinary differential equations with the boundary-values. First, we use shooting method and newton’s interative method to calculate the bifurcation points or turning points.We use implicit function theorem as the foundation to quote the numerical method of the Liapunov-Schmidt reduction method, pseudo-archength continuation method, secant-predictor method, and Newton’s interative method,to continue all solution branches from bifurcation points. Finally, we change one of the parameters and fix the others to find the bifurcation phenomenon, and the changes of bifurcation points and turning points.
author2 簡國清
author_facet 簡國清
林慧芬
author 林慧芬
spellingShingle 林慧芬
The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem
author_sort 林慧芬
title The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem
title_short The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem
title_full The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem
title_fullStr The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem
title_full_unstemmed The Continuation of Solution Paths aned The Computation of Branching Points of A Nolinear Boundary-Valued Problem
title_sort continuation of solution paths aned the computation of branching points of a nolinear boundary-valued problem
publishDate 2005
url http://ndltd.ncl.edu.tw/handle/02775205771100155891
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AT línhuìfēn continuationofsolutionpathsanedthecomputationofbranchingpointsofanolinearboundaryvaluedproblem
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