Far East Journal of Dynamical Systems
Volume 29, Issue 4, Pages 149 - 161
(December 2017) http://dx.doi.org/10.17654/DS029040149 |
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A COMPARISON OF ADOMIAN’S METHOD AND SBA METHOD ON THE NONLINEAR SCHRÖDINGER’S EQUATION
Gérard Zongo, Ousséni So, Geneviève Barro, Youssouf Paré and Blaise Somé
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Abstract: 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. |
Keywords and phrases: nonlinear Schrödinger equations, Adomian’s decomposition method, Adomian’s polynomials, SBA method. |
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