New Iterative Method (NIM): a semi-analytic solution for Rössler system

Chowdhury, Md. Sazzad Hossien (2021) New Iterative Method (NIM): a semi-analytic solution for Rössler system. In: 5th International Conference on Mechanical, Automotive and Aerospace Engineering 2021 (ICMAAE 2021 ), 22-23 June 2021, IIUM, Gombak, Kuala Lumpur ( Online platform). (Unpublished)

	PDF - Published Version Restricted to Repository staff only Download (1MB) | Request a copy
	PDF - Supplemental Material Restricted to Repository staff only Download (2MB) | Request a copy

Abstract

This paper draws special attention to the strength of New Iterative Method (NIM) in numerically solving the Rössler system. The Rössler system is a system of nonlinear ordinary differential equations (ODEs) with chaotic and non-chaotic behaviours. The proposed method finds solutions for the differential equations with the conditions of the Rössler system via the Banach contraction principle. The presented technique gives excellent results as compared with the corresponding numerical results of Runge–Kutta method (RK4) in the tabular as well as graphical form. The RK4 method cannot provide explicit series solution. Whereas NIM procedure can come up with explicit series solution as well as numerical solutions to the benchmark problem. which reveal that the proposed analytical approximation technique is novel and reliable for other non-linear problems as well.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	5807/94007
Uncontrolled Keywords:	Rössler system; New Iterative Method (NIM); Daftardar-Jafari method (DJM); Nonlinear dynamical Systems; Runge–Kutta method.
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA297 Numerical Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	23 Nov 2021 15:57
Last Modified:	23 Nov 2021 15:57
URI:	http://irep.iium.edu.my/id/eprint/94007

Actions (login required)

View Item