Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation

碩士 === 輔仁大學 === 數學系研究所 === 92 === In this thesis, we investigate the multiple solutions of a nonlinear fourth-order beam equation. We use the Crank-Nickson method, Newton''s interative method, implicit funtion theorem, pseudo-arclength continuation method, and secant predictor. Moreover, w...

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Main Authors:	Te Hsien Wang, 王德賢
Other Authors:	J.K.C
Format:	Others
Language:	zh-TW
Published:	2004
Online Access:	http://ndltd.ncl.edu.tw/handle/34529895253540291677

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spelling	ndltd-TW-092FJU004790082016-01-04T04:09:15Z http://ndltd.ncl.edu.tw/handle/34529895253540291677 Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation 非線性四階樑方程週期解路徑之分歧與延拓 Te Hsien Wang 王德賢碩士輔仁大學數學系研究所 92 In this thesis, we investigate the multiple solutions of a nonlinear fourth-order beam equation. We use the Crank-Nickson method, Newton''s interative method, implicit funtion theorem, pseudo-arclength continuation method, and secant predictor. Moreover, we discuss some mathematical models and find their periodic solution paths containing bifurcation points, turning points and regular points of nonlinear fourth-order beam equation. It will be helpful to understand the qualitative properties in nonlinear fourth-order beam equation. J.K.C 簡國清 2004 學位論文 ; thesis 54 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	碩士 === 輔仁大學 === 數學系研究所 === 92 === In this thesis, we investigate the multiple solutions of a nonlinear fourth-order beam equation. We use the Crank-Nickson method, Newton''s interative method, implicit funtion theorem, pseudo-arclength continuation method, and secant predictor. Moreover, we discuss some mathematical models and find their periodic solution paths containing bifurcation points, turning points and regular points of nonlinear fourth-order beam equation. It will be helpful to understand the qualitative properties in nonlinear fourth-order beam equation.
author2	J.K.C
author_facet	J.K.C Te Hsien Wang 王德賢
author	Te Hsien Wang 王德賢
spellingShingle	Te Hsien Wang 王德賢 Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation
author_sort	Te Hsien Wang
title	Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation
title_short	Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation
title_full	Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation
title_fullStr	Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation
title_full_unstemmed	Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation
title_sort	bifurcation and continuation of periodic solution paths of a nonlinear fourth-order beam equation
publishDate	2004
url	http://ndltd.ncl.edu.tw/handle/34529895253540291677
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Bifurcation and Continuation of Periodic Solution Paths of A Nonlinear Fourth-order Beam Equation

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