Numerical solution of the distributed-order fractional Bagley-Torvik equation
In this paper, two numerical methods are proposed for solving distributed-order fractional Bagley-Torvik equation. This equation is used in modeling the motion of a rigid plate immersed in a Newtonian fluid with respect to the nonnegative density function. Using the composite Boole 02BC &#xs rul...
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Veröffentlicht in: | IEEE/CAA journal of automatica sinica 2019-05, Vol.6 (3), p.760-765 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper, two numerical methods are proposed for solving distributed-order fractional Bagley-Torvik equation. This equation is used in modeling the motion of a rigid plate immersed in a Newtonian fluid with respect to the nonnegative density function. Using the composite Boole 02BC &#xs rule the distributed-order Bagley-Torvik equation is approximated by a multi-term time-fractional equation, which is then solved by the Grunwald-Letnikov method ( GLM ) and the fractional differential transform method ( FDTM ). Finally, we compared our results with the exact results of some cases and show the excellent agreement between the approximate result and the exact solution. |
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ISSN: | 2329-9266 2329-9274 |
DOI: | 10.1109/JAS.2017.7510646 |