R. Yulitaulita Molliq, M.S.M. Noorani, R.R. Ahmad, A.K. Alomari
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.
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Medan, 20221 Medan, Sumatera Utara, Indonesia; School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor D.E., Malaysia; Department of Mathematics, Faculty of Science, Hashemite University, 13115 Zarqa, Jordan
