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

TL;DR

This paper applies the differential transform method to nonlinear ENSO models, comparing its efficiency and accuracy with Adomian decomposition and variational iteration methods through analytical and numerical results.

Contribution

It introduces the differential transform method for solving ENSO models and compares its performance with existing methods for the first time.

Findings

Differential transform method provides accurate solutions for ENSO models.

The method shows competitive efficiency compared to other techniques.

Results are validated through tables and figures.

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.