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題名 | 以空間收斂法解四點邊界值問題之數值方法=Space Convergence Method of Numerical Methods for Four-Point Boundary Value Problems in Engineering |
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作者 | 莊書豪; Chuang, Shu-hao; |
期刊 | 機械技師學刊 |
出版日期 | 20150300 |
卷期 | 8:1 2015.03[民104.03] |
頁次 | 頁36-51 |
分類號 | 314.222 |
語文 | chi |
關鍵詞 | 四點邊界值; 半區間法; 投射法; 空間收斂法; 空間收斂修正法; Four-point boundary value; Half-interval method; Shooting method; Space convergence method; Space convergence modified method; |
中文摘要 | 在工程上常常遇到四點邊界值的問題,從前對兩點邊界值問題之解法,如半區間法(Half-IntervalMethod)、投射法(Shooting Method)等,在此均無法派上用場。為了解此問題,作者在此提出以空間觀念(Space Concept)為出發點而導出了所謂的空間收斂法(Space Convergence Method)與空間收斂修正法(Space Convergence Modified Method);並以層流之垂直平板的自然對流為例子,發現空間收斂法與空間收斂修正法均能保證其收斂的速度甚快,在疊代至第六次時其已收斂至所要求的程度。 |
英文摘要 | Four-point Boundary Value Problems often occurred in Engineering. The solution of Two-Point Boundary Value Problems, i.e. Half-Interval Method, Shooting Method, etc., is in vain at present problems. For solving the said problems, the author presented the space concept and from which derived "Space Convergence Method and Space Convergence Modified Method". As natural convection laminar flow of the vertical flat plate, Space Convergence Method and Space Convergence Modified Method can guarantee convergence and a rapid convergence rate ; the convergence to be the 6th iteration is to the degree on request. |
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