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    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:[土木工程研究所] 博碩士論文

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