%0 Journal Article %T Application of Differential Transform Method for El Nino Southern Oscillation (enso) Model with Compared Adomian Decomposition and Variational Iteration Methods %A Gubes, Murat %A Peker, H. Alpaslan %A Oturanc, Galip %J Journal of Mathematics and Computer Science %D 2015 %V 15 %N 3 %@ ISSN 2008-949X %F Gubes2015 %X 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. %9 journal article %R 10.22436/jmcs.015.03.01 %U http://dx.doi.org/10.22436/jmcs.015.03.01 %P 167-178 %0 Journal Article %T A variational iteration approach to nonlinear problems and its applications %A J. H. He %J Mech. Appl. %D 1998 %V 20 %F He1998 %0 Book %T Differential Transformation and its Applications for Electrical Circuits %A J. K. Zhou %D 1986 %I Huarjung University Press, Wuuhahn %C China %F Zhou1986 %0 Journal Article %T Adomian's decomposition method and homotopy perturbation method in solving nonlinear equations %A J. L. Li %J Journal of Computational and Applied Mathematics %D 2009 %V 228 %F Li2009 %0 Journal Article %T Different applications for the differential transformation in the differential equations %A I. H. Abdel-Halim Hassan %J Applied Mathematics and Computation %D 2002 %V 129 %F Hassan2002 %0 Journal Article %T The modified decomposition method for analytic treatment of differential equations %A A. Wazwaz %J Applied Mathematics and Computation %D 2006 %V 173 %F Wazwaz2006 %0 Journal Article %T The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation %A H. A. Peker %A O. Karaoglu %A G. Oturanc %J Mathematical and Computational Applications %D 2011 %V 16(2) %F Peker2011 %0 Journal Article %T Approximate solutions of generalized pantograph equations by the differential transform method %A Y. Keskin %A A. Kurnaz %A M. E. Kiris %A G. Oturanc %J International Journal of Nonlinear Sciences and Numerical Simulation %D 2011 %V 8(2) %F Keskin2011 %0 Journal Article %T A New Modified Approach for solving sevenorder Sawada-Kotara equations %A M. Saravi %A A. Nikkar %A M. Hermann %A J. Vahidi %A R. Ahari %J Journal of Mathematics and Computer Science %D 2013 %V 6 %F Saravi2013 %0 Journal Article %T New Homotopy Perturbation Method to solve non-linear problems %A M. Rabbani %J Journal of Mathematics and Computer Science %D 2013 %V 7 %F Rabbani2013 %0 Journal Article %T Variational Homotopy Perturbation Method: An efficient scheme for solving partial differential equations in fluid mechanics %A T. Allahviranloo %A A. Armand %A S. Pirmuhammadi %J Journal of Mathematics and Computer Science %D 2014 %V 9 %F Allahviranloo2014 %0 Journal Article %T An Equatorial Ocean Recharge Paradigm for ENSO. Part I: Conceptual Model %A J. FEI-FEI %J Journal of the Atmospheric Sciences %D 1996 %V 54 %F FEI-FEI1996 %0 Journal Article %T The Laplace-Adomian-Pade Technique for the ENSO Model %A Y. Zeng %J Mathematical Problems in Engineering, Article ID 954857 %D 2013 %V %F Zeng2013 %0 Journal Article %T The variational iteration solving method for El Nino/La Nino-southern oscillation model %A J. Q. Mo %A W. T. Lin %A J. Zhu %J Advances in Mathematics %D 2006 %V 35(2) %F Mo2006 %0 Journal Article %T Generalized variation iteration solution of an atmosphere-ocean oscillator model for global climate %A J. Q. Mo %A W. T. Lin %J Journal of Systems Science & Complexity %D 2011 %V 24(2) %F Mo2011 %0 Journal Article %T Modified variational iteration method for an El Niňo Southern Oscillation delayed oscillator %A C. Xiao-Qun %A S. Jun-Qiang %A Z. Xiao-Qian %A Z. Li-Lun %A Z. Wei-Min %A Z. Jun %J Chin. Phys. B %D 2012 %V 21(2) %F Xiao-Qun2012 %0 Journal Article %T Homotopic mapping solution of an oscillator for the El nino / La Nina-southern oscillation %A Z. Xian-Chun %A L. Yi-Hua %A W. T. Lin %A J. Q. Mo %J Chinese Physics B %D 2009 %V 18(11) %F Xian-Chun2009 %0 Book %T A perturbed Solution of Sea-Air Oscillator for the Enso Mechanism %A J. Q. Mo %A W. T. Lin %A H. Wang %D 2005 %I Journal of Systems Science & Complexity %C 18(2) %F Mo2005 %0 Journal Article %T Asymtotic solution for El Nino-southern oscillation of nonlinear model %A J. Q. Mo %A W. T. Lin %J Applied Mathematics-A Journal of Chinese Universities %D 2008 %V 23(3) %F Mo2008 %0 Journal Article %T Asymptotic Solutions to a Nonlinear Climate Oscillation Model %A L. Yi-Hua %A W. T. Lin %A J. Q. Mo %J Atmospheric And Oceanic Science Letters %D 2008 %V 1(1) %F Yi-Hua2008 %0 Journal Article %T A Class Of Homotopıc Solvıng Method For Enso Model %A J. Q. Mo %A W. T. Lin %A H. Wang %J Acta Mathematica Scientia %D 2009 %V 29B(1) %F Mo2009 %0 Journal Article %T Perturbed solution for the ENSO nonlinear model %A J. Q. Mo %A W. T. Lin %J Acta Phys Sinica %D 2004 %V 53(4) %F Mo2004 %0 Journal Article %T Perturbation method of studying the EI Niňo oscillation with two parameters by using the delay sea air oscillator model %A D. Zeng-Ji %A W. T. Lin %A J. Q. Mo %J Chin. Phys. B %D 2012 %V 21(9) %F Zeng-Ji2012 %0 Book %T Asymtotic solving method for sea -air coupled oscillator ENSO model %A Z. Xian-Chun %A Y. Jing-Sun %A J. Q. Mo %D 2012 %I Chinese Physics B %C 21(3) %F Xian-Chun2012 %0 Journal Article %T Variational iteration method for solving the mechanism of the Equatorial Eastern Pasific El Nino-Southern Oscillation %A J. Q. Mo %A H. Wang %A W. T. Lin %A L. Yi-Hua %J Chinese Physics %D 2006 %V 15(4) %F Mo2006