صندلی اداری

APPLICATION OF ADOMIAN METHOD TO NONLINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

M. Saleh, I. EL-Kalla, D. Hammad

Abstract


Adomian Decomposition Method (ADM) is of a great important to mathematicians nowadays. In this paper, ADM and Kutta-4-Method were applied to nonlinear
systems of ordinary differential equations. From a comparison study, it was
found that ADM offers a simple and more accurate approximate solution. Also,
a higher-order nonlinear ordinary differential equation was transformed to
the corresponding system of equations. Both equation and corresponding
system were solved. A comparison study using ADM shows that, this
transformation simplifies calculations.

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