Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/97328
標題: 以擬譜補償法求解四次微分方程邊界問題之研究
Pseudospectral penalty method for fourth order partial differential equations
作者: 張珉華
Min-Hua Chang
關鍵字: 擬譜法;補償法;四次微分;spectral method;penalty method;fourth order derivative
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摘要: 
本論文討論如何在常見的邊界條件下近似四次微分方程邊界值問題的解。我們使用擬譜法和補償法還有一些矩陣特性建構出一個可逆的四次微分算子。接著舉一些函數來測試這個可逆四次微分算子的精度。

In this paper, we discuss how to approximate the solution of a fourth derivative boundary value problem with common boundary conditions. We construct an invertible fourth order derivative operator by using pseudospectral method, penalty method and some matrix properties. Then we give some examples to test the convergence rate of the proposed method.
URI: http://hdl.handle.net/11455/97328
Rights: 同意授權瀏覽/列印電子全文服務,2019-12-07起公開。
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