本文應用微分再生核近似法(Differential Reproducing Kernel Approximation, DRKM)分析二維穩態不可壓縮流場的問題，藉以驗證DRKM於計算流體力學以及求解非線性偏微方程式的適用性與可行性。
文中除了使用流函數-渦度法(Stream function-Vorticity formulation)解方形穴室流問題外，並建立以Newton-Raphson Method處理原始變數方程(primitive-variable formulation)之求解流程，藉以分析Couette flow、兩平行板擠壓流以及入口渠流等問題，同時探討不同基底階數與鄰近點數其近似效果之差異。
　　由數值算例的結果顯示，以DRKM搭配Newton-Raphson Method分析二維不可壓縮流問題可以得到不錯而合理的近似結果，適當的不均勻佈點與較多的佈點數可以加快收斂速度，提高解的精度。

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