燃燒熱能模型數值近似法之研究

Abstract

本文主旨是在使用有限元素法（包括第一、第二、第三限元素法）對一個燃燒熱能模型之邊界值微分方程式，求其數值近似。

The main topic of this paper is to usee the finite element methods (contain F.E.1, F.E.2, and F.E.3) to find the numerical approximation of a model for thermal ignition. First, we obtain a system of equations for those methods. And then, we analyse the existence and the error estimate of solutions with each method. At last, we give an example to discuss those results and graph them. In a word, from those equations or graphs which are given in this paper, we will get the numerical solution and the number of solutions.