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- Item 140.119/68406
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https://ah.nccu.edu.tw/handle/140.119/68406
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| Title: | PARABOLA METHOD IN ORDINARY DIFFERENTIAL EQUATION |
| Authors: | 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 |
| Contributors: | 應數系 |
| Keywords: | Nonlinear differential equation;Approximation;Population growth;Difference equation |
| Date: | 2011.08 |
| Issue Date: | 2014-08-07 10:05:02 (UTC+8) |
| Abstract: | 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. |
| Relation: | Taiwanese Journal of Mathematics,15(4),1841-1857 |
| Data Type: | article |
| Appears in Collections: | [Department of Mathematical Sciences] Periodical Articles |
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