Finite Difference Solution for Vibrating Membrane

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Title:	Finite Difference Solution for Vibrating Membrane
Authors:	楊立杰 Young, Lih-jier
Contributors:	應用統計學系 Applied Statistics
Keywords:	曲線改變方向;有限差分法 curve veering;finite difference method
Date:	2006
Issue Date:	2014-06-27 10:54:25 (UTC+8)
Abstract:	在Young [1] 論文中，曾用Galerkin法來解矩形膜的振動問題；在三項和六項趨近解中，曲線改變方向的現象都會發生。結果顯示，使用越多項趨近解時，兩條改變方向的曲線間的差距也就越小，如果使用無窮多項趨近解，則此兩條曲線將交會。本篇論文將用有限差分法來探討相同的問題，即是否用有限差分法亦會造成曲線改變方向的現象產生。 The Galerkin method was employed in the solution of the rectangular membrane vibration problem by Young [1]. In both three-term and six-term solutions, the curve veering phenomena did take place. As the results show, the more terms are used, the narrower
Appears in Collections:	[Department of Applied Statistics] Journal Articles

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