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題名 PARABOLA METHOD IN ORDINARY DIFFERENTIAL EQUATION
作者 李明融
Li,Meng-Rong
謝宗翰
Shieh,Tzong-Hann
余清祥
Yue,C. Jack
李玢
Lee,Pin
李育佐
Li,Yu-Tso
貢獻者 應數系
關鍵詞 Nonlinear differential equation;Approximation;Population growth;Difference equation
日期 2011.08
上傳時間 7-Aug-2014 10:05:02 (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 應數系en_US
dc.creator (作者) 李明融zh_TW
dc.creator (作者) Li,Meng-Rongen_US
dc.creator (作者) 謝宗翰zh_TW
dc.creator (作者) Shieh,Tzong-Hannen_US
dc.creator (作者) 余清祥zh_TW
dc.creator (作者) Yue,C. Jacken_US
dc.creator (作者) 李玢zh_TW
dc.creator (作者) Lee,Pinen_US
dc.creator (作者) 李育佐zh_TW
dc.creator (作者) Li,Yu-Tsoen_US
dc.date (日期) 2011.08en_US
dc.date.accessioned 7-Aug-2014 10:05:02 (UTC+8)-
dc.date.available 7-Aug-2014 10:05:02 (UTC+8)-
dc.date.issued (上傳時間) 7-Aug-2014 10:05:02 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/68406-
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 654974 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