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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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Main Author: Chowdhury, Md. Sazzad Hossien
Format: Article
Language:English
Published: Penerbit Akademia Baru 2021
Subjects:
QA Mathematics
QA297 Numerical Analysis
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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spelling my.iium.irep.939722021-11-25T02:59:06Z http://irep.iium.edu.my/93972/ Numerical treatment on a chaos model of fluid flow using new iterative method Chowdhury, Md. Sazzad Hossien QA Mathematics QA297 Numerical Analysis 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. Penerbit Akademia Baru 2021 Article PeerReviewed application/pdf en http://irep.iium.edu.my/93972/13/93972_Journal%20of%20Advanced%20Research%20in%20Fluid%20Mechanics%20and%20Thermal%20Sciences_new.pdf Chowdhury, Md. Sazzad Hossien (2021) Numerical treatment on a chaos model of fluid flow using new iterative method. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. ISSN ISSN: 2289-7879 (In Press)
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
QA297 Numerical Analysis
spellingShingle QA Mathematics
QA297 Numerical Analysis
Chowdhury, Md. Sazzad Hossien
Numerical treatment on a chaos model of fluid flow using new iterative method
description 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.
format Article
author Chowdhury, Md. Sazzad Hossien
author_facet Chowdhury, Md. Sazzad Hossien
author_sort Chowdhury, Md. Sazzad Hossien
title Numerical treatment on a chaos model of fluid flow using new iterative method
title_short Numerical treatment on a chaos model of fluid flow using new iterative method
title_full Numerical treatment on a chaos model of fluid flow using new iterative method
title_fullStr Numerical treatment on a chaos model of fluid flow using new iterative method
title_full_unstemmed Numerical treatment on a chaos model of fluid flow using new iterative method
title_sort numerical treatment on a chaos model of fluid flow using new iterative method
publisher Penerbit Akademia Baru
publishDate 2021
url 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/
_version_ 1718925612787171328
score 13.211869

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