Numerical Solutions of the Harmonic Oscillators using Adomian Decomposition Method

S. Sekar; A. Kavitha

doi:https://doi.org/10.14445/22315373/IJMTT-V24P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 24 | Number 1 | Year 2015 | Article Id. IJMTT-V24P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V24P508

Numerical Solutions of the Harmonic Oscillators using Adomian Decomposition Method

S. Sekar, A. Kavitha

Citation :

S. Sekar, A. Kavitha, "Numerical Solutions of the Harmonic Oscillators using Adomian Decomposition Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 24, no. 1, pp. 64-66, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V24P508

Abstract

In this article, the Adomian Decomposition Method (ADM) is used to study the harmonic oscillators [6]. The obtained discrete solutions using ADM are compared with the Runge- Kutta (RK) method, Single-term Haar wavelet series (STHW) and ODE45 solutions of the harmonic oscillators and are found to be very accurate. Solution and Error graphs for discrete and exact solutions are presented in a graphical form to show efficiency of this method. This ADM can be easily implemented in a digital computer and the solution can be obtained for any length of time.

Keywords

Harmonic oscillators, ODE45 in Matlab, Runge-Kutta method, Single-term Haar wavelet series.

References

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