Blatz-Ko圓對稱波方程差分式的群分析; Group analysis of the finite difference schemes for the Blatz-Ko spherical wave equation

NCUIR > Engineering College > Graduate Institute of Civil Engineering > Electronic Thesis & Dissertation > Item 987654321/1236

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/1236

Title:	Blatz-Ko圓對稱波方程差分式的群分析;Group analysis of the finite difference schemes for the Blatz-Ko spherical wave equation
Authors:	莊凱迪;Kai-Ti Chuang
Contributors:	土木工程研究所
Keywords:	Blatz-Ko材料;圓對稱差分式;波方程;群的分析;the finite difference schemes;Group analysis;Blatz-Ko spherical wave equation
Date:	2008-07-10
Issue Date:	2009-09-18 17:24:19 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	本論文主要研究Blatz-Ko材料圓形對稱動態波方程式，將非線性偏微分方程轉換至非線性常微分方程，使得求解過程簡化，再經由李群理論推導波方程各種的等值表示式與差分式，並利用Euler方法，Lax方法，Lax-Wendroff方法推導波方程各個差分式組合，各個差分式組合給予邊界條件，來觀察與分析最大誤差值，穩定特性，一致特性，準確特性。 This thesis investigates the symmetry properties of the finite difference schemes for the spherical wave equation for Blatz-Ko materials. We use the Euler method, Lax method and Lax-Wendroff method to derive difference schemes and investigate their group properties. The maximum error, stability, consistency and precision of these schemes are analyzed.
Appears in Collections:	[Graduate Institute of Civil Engineering] Electronic Thesis & Dissertation

Files in This Item:

File	Size	Format

社群 sharing