A STEP VARIATIONAL ITERATION METHOD FOR SOLVING NON-CHAOTIC AND CHAOTIC SYSTEMS

Rangkuti, Yulita Molliq and Noorani, M.S.M and Ahmad, Rokiah R. and Alomari, A.K. (2013) A STEP VARIATIONAL ITERATION METHOD FOR SOLVING NON-CHAOTIC AND CHAOTIC SYSTEMS. Jurnal Sains Malaysiana, 42 (03). pp. 347-358. ISSN 0126-6039

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Abstract

In this paper, a new reliable method called the step variational iteration method (SVIM) based on an adaptation of the variational iteration method (VIM) is presented to solve non–chaotic and chaotic systems. The SVIM uses the general Lagrange multipliers for constructing the correction functional for the problems. The SVIM yields a step analytical solution of the form of a rapidly convergent infinite power series with easily computable terms and obtain a good approximate solution for larger intervals. The accuracy of the presented solution obtained is in an excellent agreement with the previously published solutions.

Item Type: Article
Keywords: Lagrange multiplier; Chaotic system; variational iteration method
Subjects: L Education > LB Theory and practice of education > LB1025 Teaching (Principles and Practice)
Q Science > QA Mathematics
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Mrs Harly Christy Siagian
Date Deposited: 23 Aug 2017 09:07
URI: http://digilib.unimed.ac.id/id/eprint/25898

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