| dc.contributor.advisor | 李明融 | zh_TW |
| dc.contributor.advisor | Li, Meng Rong | en_US |
| dc.contributor.author (Authors) | 陳仁發 | zh_TW |
| dc.contributor.author (Authors) | Chen, Ren Fa | en_US |
| dc.creator (作者) | 陳仁發 | zh_TW |
| dc.creator (作者) | Chen, Ren Fa | en_US |
| dc.date (日期) | 2015 | en_US |
| dc.date.accessioned | 4-Jan-2016 16:52:14 (UTC+8) | - |
| dc.date.available | 4-Jan-2016 16:52:14 (UTC+8) | - |
| dc.date.issued (上傳時間) | 4-Jan-2016 16:52:14 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G1017510051 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/80284 | - |
| 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) | 101751005 | zh_TW |
| dc.description.abstract (摘要) | 在這篇論文當中，我們引用"海岸綠堤--水筆仔`網站上的研究資料並且藉由Matlab程式軟體的幫助建構數學模型，我們討論以下的二階非線性微分方程 (i) u``(t)=f(u(t)), u(t_0)=u_0, u`(t_0)=u_1. (ii) u``(t)=f(u`(t)), u(t_0)=u_0, u`(t_0)=u_1. 我們比較拋物線函數，立方函數，傅立葉和函數，正弦和函數並且從這些函數中選出最好的一個當作我們的模型，我們得到一些主要的結果。 | zh_TW |
| dc.description.abstract (摘要) | In this paper, we use the real data from website of "Seacoast Green Bank--Kandelia` and construct mathematical models with the help of Matlab, we discuss the following nonlinear 2nd order differential equation (i) u``(t)=f(u(t)), u(t_0)=u_0, u`(t_0)=u_1. (ii) u``(t)=f(u`(t)), u(t_0)=u_0, u`(t_0)=u_1. We compared with the functions of parabolic, cubic, Fourier summation, sum of sine and choose the best one from them as our model, we have obtained main results. | en_US |
| dc.description.abstract (摘要) | 謝辭 i 中文摘要 ii Abstract iv Contents vi List of Figures viii List of Tables ix 1 Introduction 1 2 Model Construction From Real Data 2 2.1 Sourse . . . . . . . . . . . . . . . . . . . . . 2 2.2 Time and Height . . . . . . . . . . . . . . . . . 5 3 Mathematical Models 7 3.1 Some methods . . . . . . . . . . . . . . . . . . 7 3.2 Model 1 . . . . . . . . . . . . . . . . . . . . . 7 3.3 Model 2 . . . . . . . . . . . . . . . . . . . . 10 3.4 Model 3 . . . . . . . . . . . . . . . . . . . . 11 4 Some Fundamental Theorem 14 4.1 Conservation law of Model 1 . . . . . . . . . . 14 4.2 Estimate for u(t) . . . . . . . . . . . . . . . 18 5 Conclusion 22 A 24 A.1 PART 1 . . . . . . . . . . . . . . . . . . . . . 24 A.2 PART 2 . . . . . . . . . . . . . . . . . . . . . 29 Bibliography 34 | - |
| dc.description.tableofcontents | 謝辭 i 中文摘要 ii Abstract iv Contents vi List of Figures viii List of Tables ix 1 Introduction 1 2 Model Construction From Real Data 2 2.1 Sourse . . . . . . . . . . . . . . . . . . . . . 2 2.2 Time and Height . . . . . . . . . . . . . . . . . 5 3 Mathematical Models 7 3.1 Some methods . . . . . . . . . . . . . . . . . . 7 3.2 Model 1 . . . . . . . . . . . . . . . . . . . . . 7 3.3 Model 2 . . . . . . . . . . . . . . . . . . . . 10 3.4 Model 3 . . . . . . . . . . . . . . . . . . . . 11 4 Some Fundamental Theorem 14 4.1 Conservation law of Model 1 . . . . . . . . . . 14 4.2 Estimate for u(t) . . . . . . . . . . . . . . . 18 5 Conclusion 22 A 24 A.1 PART 1 . . . . . . . . . . . . . . . . . . . . . 24 A.2 PART 2 . . . . . . . . . . . . . . . . . . . . . 29 Bibliography 34 | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G1017510051 | en_US |
| dc.subject (關鍵詞) | Nonlinear 2nd Order Differential Equation | zh_TW |
| dc.subject (關鍵詞) | Mathematical Model | zh_TW |
| dc.subject (關鍵詞) | 二階非線性微分方程 | en_US |
| dc.subject (關鍵詞) | 數學模型 | en_US |
| dc.title (題名) | 二階非線性微分方程與應用 | zh_TW |
| dc.title (題名) | Nonlinear differential equation of second order and its applications | en_US |
| dc.type (資料類型) | thesis | en_US |
| dc.relation.reference (參考文獻) | [1] J.D. Murray. Mathematical biology. I. An introduction Springer-Verlag New York, 2002. [2] R. P. Agarwal and D. O’Regan. An Introduction to Ordinary Differential Equations. Springer, New York, 2008. [3] Ferdinand Verhulst. Nonlinear Differential Equations and Dynamical Systems. Springer-Verlag Berlin Heidelberg, 1990. [4] 徐詩芸(2013), 互花米草在關渡自然保留區的擴散評估與模擬, 國立臺灣大學地理環境資源學研究所碩士論文. [5] 海岸綠堤–水筆仔. http://163.20.52.80/stu635/cwpspage/mang/study/index.htm. [6] 洪維恩. Matlab 程式設計-第二版. 旗標出版股份有限公司, 西元2013 年8 月出版. | zh_TW |
