Beam problem is very important for engineering theoretically and practically. In this thesis we study such kind of nonlinear 4-th order ordiniary differential equations with nonlinear boundary conditions. The well-posedness of these boundary value problems will be discussed. Moreover, we will design different schemes to solve them, through differential equation, integral equation or minimization. Each type can further be discretized by finite difference, finite element or spectral method, etc. In the end we will compare all methods and find the best one.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0704105-220532 |
| Date | 04 July 2005 |
| Creators | Tsai, Siang-Yu |
| Contributors | Tzon-Tzer Lu, Zi-Cai Li, Chien-Sen Huang, Cheng-Sheng Chien, Hung-Tsai Huang |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0704105-220532 |
| Rights | unrestricted, Copyright information available at source archive |
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