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https://ah.lib.nccu.edu.tw/handle/140.119/61618
題名: | Parabola Method in Ordinary Differential Equation | 作者: | 余清祥 Li, Meng-Rong ; Shieh,Tzong-Hann ; Yue,C. Jack ; Pin Lee; Li, Yu-Tso |
貢獻者: | 統計系 | 關鍵詞: | Nonlinear differential equation;Approximation;Population growth;Difference equation | 日期: | 2011 | 上傳時間: | 11-Nov-2013 | 摘要: | In this paper we used the method of parabola approximation to study some nonlinear differential equations. We derive exact, explicit solutions to the parabolic equations and use this analytical results in the numerical computations for the general equations. We then draw the comparison of between the solutions of original and approximated equations. Moreover, we apply such method to the population growth problem. The error of the difference between the solutions of the differential equations and the numerical results caused by the discrete approximations is reasonable. | 關聯: | Taiwanese Journal of Mathematics, 15(4), 1841-1857 | 資料類型: | article |
Appears in Collections: | 期刊論文 |
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