本篇論文，旨在探討一階熱釋放化學反應模型平衡解之解情形。我們使用的工具是牛頓迭代法、隱含數定理、局部延拓法、割線預測法及虛擬弧長延拓法，來找出我們的一階熱釋放化學反應平衡解在各參數的有限範圍內之解路徑情形，並探討改變各種參數，其多重路徑解所產生的變化，並找出其所有的轉彎點

The purpose of this paper is to investigate the equilibrium solutions of a first-order exothermic chemical reaction model. The main theories we used are Newton iterative method, Implicit Function Theorem, local continuation method, Secant Predictor and Pesudo-arclength continuation algorithm to find out the multiple solutions within limited range of parameters. Therefore we can investigate and change various parameters to gain different solutions. Finally we will determine all the turning points.

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