本文發展網式六角形有限體積之三色迭代更新算法，用於解決定常拉氏方程 佳可必更新法之平行化。並用於時步法之三色非同步更新，效益明顯。
模擬計算包括：（1)橢圓形方程之標準測試，由數值結果可知2種網式六角 形有限體積之三色迭代更新算法分別可達2階及4階之精準。（2)應用於模擬人 類心室細胞組織之電生理活動。可得到精確之心室細胞動作電位及細胞組織之間 動作電位傳遞形式之直行波，螺旋波亦可實現。

We consider in this work hexagonal finite volume methods for two-dimensional applications. Ordinary and compact seven-point schemes with three-color iterative updates are investigated with application to elliptic equations and reaction-diffusion systems. In particular, electrical activity of human ventricular tissue is observed. Monodomain model for human ventricular cell is used to simulate action membrane potential, and electrical wave propogation acrossing two dimensional myocardiac tissue can be obtained. The results have shown good agreement with previous research works.