Comparing Numerical Methods for the Solution of the Damped Forced Oscillator Problem

Subject Areas : Operation Research

ع.ر  وحیدی ¹ (Department of Mathematics, Shahr-e-Rey Branch, Islamic Azad University)
ق.  اسدی کردشولی ² (Department of Physics, Shahr-e-Rey Branch, Islamic Azad University)
ز.  عظیم زاده ³ (Department of Mathematics, Science and Research Branch, Islamic Azad University)

Received: 2009-04-03 Accepted : 2009-06-07 Published : 2009-07-01

Keywords: Adomian decomposition method, Differential equation, damped forced oscillator,

Abstract :

In this paper, we present a comparative study between the Adomian decomposition method and two classical well-known Runge-Kutta and central difference methods for the solution of damped forced oscillator problem. We show that the Adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply.

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