2016 International Symposium on Nanofluid Heat and Mass Transfer in Textile Engineering and 5th International Symposium on Nonlinear Dynamics


Journal: Nonlinear Science Letters A
(ISSN 2519-9072(Online), ISSN 2076-2275 (Print))          Vol. 1 No. 4
Multi-Step Differential Transform Method for Nonlinear Oscillators
J. Biazar*, F. Mohammadi
Department of Mathematics, Faculty of Sciences, University of Guilan, P.O. Box
41635-19141, P.C. 4193833697, Rasht, Iran
Abstract: The differential transform method is widely used to solve nonlinear equations, but it is not effective for nonlinear oscillators. In order to overcome this problem, the multi-step differential transform method is used in this paper, where a sequence of intervals is considered and an algorithm is designed to find accurate approximate solution in each interval. The obtained results are compared with the results obtained by the fourth-order Runge-Kutta numerical method.

Keywords: Differential transform method; multi-step differential transform method; Runge-Kutta method; nonlinear oscillator equations

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