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

Iranian Journal of Optimization

مقاله 3، دوره 2، شماره 1، فروردین 2010، صفحه 108-116   

نوع مقاله: Research Paper

نویسندگان

A. R. Vahidi^{* 1}؛ GH. Asadi Cordshooli²؛ Z. Azimzadeh³

¹Department of Mathematics, Shahr-e-Rey Branch, Islamic Azad University

²Department of Physics, Shahr-e-Rey Branch, Islamic Azad University

³Department of Mathematics, Science and Research Branch, Islamic Azad University

چکیده

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. 

کلیدواژه‌ها

Adomian decomposition method؛ Differential equation؛ damped forced oscillator

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