Discrete-Time ODE Solutions Generated by TZD and ZeaD4Ig2_Y Formulas: Numerical Results
| Autor: | Min Yang, Yunong Zhang, Nini Shi, Huanchang Huang, Ning Tan |
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| Rok vydání: | 2019 |
| Předmět: |
Discretization
Truncation error (numerical integration) Ode 010103 numerical & computational mathematics Derivative 01 natural sciences 010101 applied mathematics Euler method symbols.namesake Discrete time and continuous time Ordinary differential equation symbols Applied mathematics 0101 mathematics Mathematics |
| Zdroj: | 2019 9th International Conference on Information Science and Technology (ICIST). |
| DOI: | 10.1109/icist.2019.8836744 |
| Popis: | ZeaD4Ig2_Y formula, a recently new Zhang et al discretization (ZeaD) formula termed with 4-instant, g-square truncation error and Y-subtype, can effectively approximate the first-order derivative. In this paper, aiming at generating the discrete-time ordinary differential equation (ODE) solutions, the ZeaD4Ig2_Y method is presented and investigated through applying the ZeaD4Ig2_Y formula. Meanwhile, the Euler method and the Taylor-Zhang discretization (TZD) method are also presented for comparison and evaluation. More specifically, detailed discretization experiments are conducted and discussed to substantiate the efficacy and accuracy of the ZeaD4Ig2_Y method for solving ODE in discrete time; i.e., the discrete-time ODE solutions can converge to the theoretical solutions effectively. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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