Solutions of non-linear oscillators by the modified differential transform method

Authors:
Shaher Momani;Vedat Suat Ertürk
Affiliations:
Department of Mathematics, Mutah University, P.O. Box: 7, Al-Karak, Jordan;Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Samsun, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 3
Cited 4

Solving partial differential equations by two-dimensional differential transform method

Applied Mathematics and Computation
On solving the initial-value problems using the differential transformation method

Applied Mathematics and Computation
Two-dimensional differential transform for partial differential equations

Applied Mathematics and Computation

Variational iteration method for unsteady flow of gas through a porous medium using He's polynomials and Pade approximants

Computers & Mathematics with Applications
The modified homotopy perturbation method for solving strongly nonlinear oscillators

Computers & Mathematics with Applications
A numerical scheme for two-dimensional optimal control problems with memory effect

Computers & Mathematics with Applications
The Laplace Adomian Decomposition Method for solving a model for HIV infection of CD4+T cells

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.09

Visualization

Abstract

A numerical method for solving nonlinear oscillators is proposed. The proposed scheme is based on the differential transform method (DTM), Laplace transform and Pade approximants. The modified differential transform method (MDTM) technique introduces an alternative framework designed to overcome the difficulty of capturing the periodic behavior of the solution, which is characteristic of oscillator equations, and give a good approximation to the true solution in a very large region. The numerical results demonstrate the validity and applicability of the new technique and a comparison is made with existing results.