Application Of Differential Transform Method For El Nino Southern Oscillation (enso) Model With Compared Adomian Decomposition And Variational Iteration Methods

Gubes, Murat; Peker, Haldun Alpaslan; Oturanç, Galip

doi:10.22436/jmcs.015.03.01

Cited by 8 publications

(9 citation statements)

References 19 publications

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“…where V (k) is the transformed function of v(t) which is called spectrum function. And the inverse transform of V (k) is defined (seen [14], [15], [16], [17]) as…”

Section: Basic Idea Of Dtmmentioning

confidence: 99%

Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method

Gubes¹

2018

Universal Journal of Mathematics and Applications

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“…where V (k) is the transformed function of v(t) which is called spectrum function. And the inverse transform of V (k) is defined (seen [14], [15], [16], [17]) as…”

Section: Basic Idea Of Dtmmentioning

confidence: 99%

Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method

Gubes¹

2018

Universal Journal of Mathematics and Applications

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“…In the tropical western Pacific, La Niña is with low air surface pressure and El Niño with high air surface pressure. The dynamics of recount the oscillating physical mechanism of the ENSO model with the ® Received: 24.06.2021 ® Revised: 11.08.2021 ® Accepted: 13.08.2021 ® Published: 15.08.2021 thermocline depth anomaly v(t) and temperature of the eastern equatorial Pacific Sea surface u (t) is presented with perturbation coefficient ε as [15,16,17,18] follows…”

Section: Introductionmentioning

confidence: 99%

“…The projected coupled system plays an important role in various phenomena. The projected system is analysed by many researchers to present their viewpoints and also capture linear and complex nature using many semi-analytical and numerical schemes [11,12,13,14,15,16,17,18]. In the literature, we have distinct fractional operators, each one has its own limitation while examining the complex phenomena.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Approach to the Coupled Atmospheric Ocean Model Using a Fractional Operator

Veeresha¹

2021

mmnsa

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In the present framework, the coupled mathematical model of the atmosphere-ocean system called El Nino-Southern Oscillation (ENSO) is analyzed with the aid Adams-Bashforth numerical scheme. The fundamental aim of the present work is to demonstrate the chaotic behaviour of the coupled fractional-order system. The existence and uniqueness are demonstrated within the frame of the fixed-point hypothesis with the Caputo-Fabrizio fractional operator. Moreover, we captured the chaotic behaviour for the attained results with diverse order. The effect of the perturbation parameter and others associated with the model is captured. The obtained results elucidate that, the present study helps to understand the importance of fractional order and also initial conditions for the nonlinear models to analyze and capture the corresponding consequence of the fractional-order dynamical systems.

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“…25 Further, the unsettled terms in VIM affects the accuracy of results, whereas, ADM series solution leads to higher accuracy as compared to VIM for certain class of problems. 26,27 Because of unsettled terms and repeated calculations VIM also use more computer memory with high computational time in comparison with ADM. 26 Moreover ADM gives the closed-form solution along with enhanced accuracy unlike numerical methods. Further, it does not require any linearization, discretization, perturbation and it efficiently handles the nonlinear terms.…”

Section: Introductionmentioning

confidence: 99%

Closed-form solution for a rectangular stepped fin involving all variable thermal parameters and nonlinear boundary conditions

Singh

Das

Singla

2016

Proceedings of the Institution of Mechanical Engineers, Part E:

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In this paper, the implementation of the Adomian decomposition method is demonstrated to solve a nonlinear heat transfer problem for a stepped fin involving all temperature-dependent means of heat transfer and nonlinear boundary conditions. Unlike conventional insulated tip assumption, to make the present problem more practical, the fin tip is assumed to disperse heat by convection and radiation. Thermal parameters such as the thermal conductivity, the surface heat transfer coefficient and the surface emissivity are considered to be temperature-dependent. Adomian polynomials are first obtained and then a set of Adomian decomposition method results is validated with pertinent results of the differential transformation method reported in the literature. Effects of different thermo-physical parameters on the temperature distribution and the efficiency have been exemplified. The study reveals that for a given set of conditions, the stepped fin may perform better than the straight fin.

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Application Of Differential Transform Method For El Nino Southern Oscillation (enso) Model With Compared Adomian Decomposition And Variational Iteration Methods

Cited by 8 publications

References 19 publications

Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method

Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method

A Numerical Approach to the Coupled Atmospheric Ocean Model Using a Fractional Operator

Closed-form solution for a rectangular stepped fin involving all variable thermal parameters and nonlinear boundary conditions

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