Author/Authors :
MOLLIQ, R. YULITA Universitas Negeri Medan - Faculty of Mathematics and Natural Science - Department of Mathematics, Indonesia , NOORANI, M.S.M. Universiti Kebangsaan Malaysia - Faculty of Science and Technology, School of Mathematical Sciences, Malaysia , AHMAD, R.R. Universiti Kebangsaan Malaysia - Faculty of Science and Technology, School of Mathematical Sciences, Malaysia , ALOMARI, A.K. Hashemite University - Faculty of Science - Department of Mathematics, Jordan
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.
Keywords :
Chaotic and non , chaotic systems , Lagrange multiplier , multistage variational iteration method , step variational iteration method , variational iteration method
