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.

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