Application of Differential Transform Method for El Nino Southern Oscillation (enso) Model with Compared Adomian Decomposition and Variational Iteration Methods

Volume 15, Issue 3, pp 167-178 http://dx.doi.org/10.22436/jmcs.015.03.01

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Authors

Murat Gubes - Department of Mathematics, Kamil Ozdag Science Faculty of Karamanoglu Mehmetbey University, 70100, Campus, Karaman, Turkey H. Alpaslan Peker - Department of Mathematics, Science Faculty of Selcuk University, 42100, Campus-Konya, Turkey Galip Oturanc - Department of Mathematics, Science Faculty of Selcuk University, 42100, Campus-Konya, Turkey

Abstract

We consider two nonlinear El Nino Southern Oscillation (ENSO) model to obtain approximate solutions with differential transform method for the first time. Efficiency, accuracy and error rates of solutions are compared with analytic solution, variational iteration and adomian decomposition solutions on the given tables and figures.

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Keywords

• Nonlinear equation
• Enso Model
• Differential Transform Method
• Adomian Decomposition Method
• Variational Iteration Method.

MSC

•  34A25
•  65H10
•  82C70
•  34A45

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