• 作者： Wang, Maw-Ling; Chang, Rong-Yeu; Yiin, Tian-Yih
• 中文摘要： 對於從過飽和溶液中單一球狀晶體成長之情形可以以具有移動邊界條件之偏微分方程式來描述。在本文中, 利用正交排列法來解析此具有非線性之移動邊界問題, 在尋求解之關鍵在於使用適當之轉換變數將移動邊界變成為固定邊界。如此, 在某一有限之間隔裡, 此問題就很容易利用正交排列法來尋求其解。本文同時也將計算結果與利用相似法, 擬穩態方法及積分方法所獲之解逐一做比較。
• 英文摘要： A single spherical crystal growing in a supersaturated solution is described by the partial differential equations with moving boundary conditions. The orthogonal collocation method is employed to solve such a non-linear moving boundary problem. The key idea is that the moving boundary is transformed into a fixed boundary by defining an appropriate transformation variable. The problem is easily solved by using the orthogonal collocation within a finite interval. The computational results are compared with those previously documented data by similarity method, pseudo-steady state method and integral equation method.
• 中文關鍵字： 晶體成長; 移動邊界; 正交排列; 過飽和溶液
• 英文關鍵字： Crystal Growth; Moving Boundary; Orthogonal Collocation; Supersaturated Solution