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頁籤選單縮合
題名 | Solution of Functional Differential Equations Via Modified Laguerre Polynomials=經由潤飾Laguerre多項式解泛函微分方程式 |
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作者 | 王茂齡; 陳桂賢; 張榮語; | 書刊名 | Journal of the Chinese Institute of Chemical Engineers |
卷期 | 17:2 1986.03[民75.03] |
頁次 | 頁73-77 |
分類號 | 460.02 |
關鍵詞 | 多項式; 泛函微分方程式; 潤飾; |
語文 | 英文(English) |
中文摘要 | 本文中,利用多加一個參數於Laguerre多項式函數而成為修飾之Laguerre多項式函數,此種經過修飾之多項式函數可以用來解泛函微分方程式,首先將修飾Laguerre多項式函數之積分運算矩陣引入泛函微分方程式,而得到一系列之代數方程式,再由此代數方程式解出修飾Laguerre多項式函數之展開系數,在本文中試舉一些例子說明此方法之可用性,同時與傳統Laguerre多項式函數方法所獲之結果相比較,顯然本文所提供之方法較傳統為佳。 |
英文摘要 | The Laguerre polynomisls is modified with an additional parameter and is applied to solve the functional differential equation. The operational matrix for the integration of the modified Laguerre polynomisls is developed and is introduced to solve the functional equations. Expansion the functional variables by modified Laguerre polynomials series are carried out. Illustrative examples are given. The computational results are compared with that of the conventional Laguerre polynomials. Very satisfactory results are obtained. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。