| dc.contributor.advisor | 蔡隆義 | zh_TW |
| dc.contributor.advisor | Tsai, Long Yei | en_US |
| dc.contributor.author (Authors) | 陳健在 | zh_TW |
| dc.contributor.author (Authors) | Chern, Jiann Tzay | en_US |
| dc.creator (作者) | 陳健在 | zh_TW |
| dc.creator (作者) | Chern, Jiann Tzay | en_US |
| dc.date (日期) | 1994 | en_US |
| dc.date.accessioned | 29-Apr-2016 16:32:06 (UTC+8) | - |
| dc.date.available | 29-Apr-2016 16:32:06 (UTC+8) | - |
| dc.date.issued (上傳時間) | 29-Apr-2016 16:32:06 (UTC+8) | - |
| dc.identifier (Other Identifiers) | B2002003897 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/88729 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系 | zh_TW |
| dc.description (描述) | 80155010 | zh_TW |
| dc.description.abstract (摘要) | 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。 | zh_TW |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.description.tableofcontents | 序論-----i 中文摘要-----ii Abstract-----iii Content 1. Introduction-----1 2. Previous Results-----4 2-1 The Gelfand form-----4 2-2 The perturbed Gelfand form-----5 2-3 The finite difference method-----7 3. Some Finite Element Methods-----16 3-1 Finite elements without numerical integration-----17 3-2 Finite elements with numerical integration-----17 3-3 The Noumerov Scheme by starting from a finite elements without numerical integration-----18 4. Approximation Results of Finite Element Methods-----20 4-1 F.E.1 method-----24 4-2 F.E.2 method-----29 4-3 F.E.3 method-----32 5. Example-----35 References-----44 Index 1. Notations-----46 Index 2. Graphs-----47 | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002003897 | en_US |
| dc.subject (關鍵詞) | 有限元素法 | zh_TW |
| dc.subject (關鍵詞) | 數值近似 | zh_TW |
| dc.subject (關鍵詞) | 存在性 | zh_TW |
| dc.subject (關鍵詞) | 誤差估計 | zh_TW |
| dc.subject (關鍵詞) | finite element method | en_US |
| dc.subject (關鍵詞) | numerical approximation | en_US |
| dc.subject (關鍵詞) | existence | en_US |
| dc.subject (關鍵詞) | error estimate | en_US |
| dc.title (題名) | 燃燒熱能模型數值近似法之研究 | zh_TW |
| dc.title (題名) | Numerical Approximation In a Model For Thermal Ignition | en_US |
| dc.type (資料類型) | thesis | en_US |
