本篇論文主要在探討兩旋轉圓盤間黏性液體流動模型之平衡解及其解路徑之特性﹒
我們將利用隱函數定理﹑打靶法﹑Runge–Kutta積分公式和牛頓迭代法來求其平衡解路徑上的分支點﹐再使用Liapunov–Schmidt降階法﹑切線猜測法﹑割線猜測法和虛擬弧長延拓法等數值方法﹐延拓出整個解分支路徑﹒最後﹐選取特定參數﹐探討解分支路徑之分歧現象﹒

This paper is mainly to discuss numerical investigation for the steady state solutions of a model for the flow of viscous fluid between two rotating disks.
We will use Implicit function theorem, shooting method, Runge–Kutta integral formula and Newton's interative method to calculate branch points. Also, we use the Liapunov–Schmidt reduction method, Tangent–predictor method, Secant–predictor method and Pseudo–arclength continuation method to find out the multiple solutions. Finally, we try to change various parameters to continue the all the solution branches.

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