Numerical treatment on a chaos model of fluid flow using new iterative method
This article treats analytically and numerically to the three-dimensional Rössler system. The governing equations of the problem are derived from traditional Lorentz system of fluid mechanics to nonlinear ordinary differential equations (ODEs) for modelling. A semi-analytic solution is developed by...
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Akademia Baru
2021
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| Online Access: | http://irep.iium.edu.my/93972/13/93972_Journal%20of%20Advanced%20Research%20in%20Fluid%20Mechanics%20and%20Thermal%20Sciences_new.pdf http://irep.iium.edu.my/93972/ |
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| Summary: | This article treats analytically and numerically to the three-dimensional Rössler system. The governing equations of the problem are derived from traditional Lorentz system of fluid mechanics to nonlinear ordinary differential equations (ODEs) for modelling. A semi-analytic solution is developed by using New Iterative Method (NIM) whereas the numerical solution is presented by Runge-Kutta order four (RK4) scheme. A comparative study of the analytical and numerical solutions are made. The results confirm clearly that the two methods coincide closely for both the chaotic and non-chaotic cases of the determined system. This observation would be helpful to apply NIM on nonlinear problems of fluid flow with different fluid parameters in future. |
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