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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 2011.08
上傳時間 11-十一月-2013 17:49:05 (UTC+8)
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
dc.contributor 統計系en_US
dc.creator (作者) 余清祥zh_TW
dc.creator (作者) Li, Meng-Rong ; Shieh,Tzong-Hann ; Yue,C. Jack ; Pin Lee; Li, Yu-Tso-
dc.date (日期) 2011.08en_US
dc.date.accessioned 11-十一月-2013 17:49:05 (UTC+8)-
dc.date.available 11-十一月-2013 17:49:05 (UTC+8)-
dc.date.issued (上傳時間) 11-十一月-2013 17:49:05 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/61618-
dc.description.abstract (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.en_US
dc.format.extent 646536 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Taiwanese Journal of Mathematics, 15(4), 1841-1857en_US
dc.subject (關鍵詞) Nonlinear differential equation;Approximation;Population growth;Difference equationen_US
dc.title (題名) Parabola Method in Ordinary Differential Equationen_US
dc.type (資料類型) articleen