Received: 22 January 2024
Accepted: 31 January 2024
Volume 1. Issue 1. Pages 16-25 (2024)
Mehmona
Affiliation:
Department of Mathematics, Attock Campus, COMSATS University, Islamabad, Pakistan
In this study, we apply Adomain Decomposition method (ADM) to a system of three dimensional nonlinear ordinary differential equations termed as Stretch-Twist-Fold flow system. For the complex dynamics of continuous-time autonomous chaotic system, we have calculated the adomian polynomials for nonlinear operators based on new algorithm of Lane-Emden type. ADM yields an analytical solution in terms of rapidly infinite power series with promptly computable terms. We have successfully investigated the expansion of proposed approach to STF system. This research is most important and logically for researchers and scholars all over the world due to application applied in different research forum.
- Gulick.D, Encounters with chaos, Newyork , pp 52-83, (1992)
I Google Scholar I
- A.M. Wazwaz, A new technique for calculating Adomian polynomials for nonlinear operators. Appl. Math. Comput., 111(1), 33-51, (2000)
I Google Scholar I
- A.M. Wazwaz, A new algorithm for solving differential equations of the Lane-Emden type, Appl. Math. Comput., 118(2/3), 287–310, (2001)
I Google Scholar I
- Salah Ud-Din Khan, Shahab Ud-Din Khan, “Equating heteroclinic orbits in Chen System by using Scaling Logarithm Change Series (SLS) method” Applied Mechanics and Materials Vol. 598. pp 414-417. 2014
I Google Scholar I
- Shahab Ud-Din Khan, S.Yonglu, Salah Ud-Din Khan, “Stability and Unstability of Chaos in Stretch-Twist- Fold flow (STF)”, Advanced Materials Research, Vols. 631-632, pp 1436-1440, 2013
I Google Scholar I
- Shahab Ud-Din Khan, S.Yonglu, Salah Ud-Din Khan, “Complex dynamics of continuous-time autonomous chaotic system”, International Journal of Physics and Mathematical Sciences, Vol. 2 (3), pp.108-114, 2012
I Google Scholar I
- Shahab Ud-Din Khan, S.Yonglu, Salah Ud-Din Khan, “Stability Control of Stretch-Twist-Fold Flow by Using Numerical Methods”, World Journal of Mechanics, Vol. 2 No.6, 334-338, 2012
I Google Scholar I
The research team show their gratitude and sincere appreciation to Department of Mathematics for support of this research.
- STF System
- ADM
- MATLAB Program
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We wish to confirm that there are no known conflicts of interest associated with this publication and there has been no significant financial support for this work that could have influenced its outcome.