A COMPARISON OF ADOMIAN’S METHOD AND SBA METHOD ON THE NONLINEAR SCHRÖDINGER’S EQUATION

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Résumé

In this paper, we solve nonlinear Schrödinger equation with a new method: SBA. This equation has been solved in [19] by Wazwaz by
using Adomian’s decomposition method (ADM). The calculation of Adomian’s polynomials is very long and heavy. To avoid the
calculations of the Adomian’s polynomials, we apply SBA method witch gives the same solution. Thus, we demonstrate that this method
is simple, rapid and has less calculation than Adomian’s method.

Mots-clés

nonlinear Schrödinger equations, Adomian’s decomposition method, Adomian’s polynomials, SBA method.