Procedure for Exact Solutions of Stiff Ordinary Differential Equations Systems
Brahim Benhammouda, Hector Vazquez-Leal, L. Benhamouche, H. Zahed, Y. Abo Einaga, A. Sarmiento-Reyes, A. Marin-Hernandez, J. Huerta-Chua
Journal of Advances in Mathematics and Computer Science · pp. 3252–3270 · Published 16 Sep 2014
10.9734/BJMCS/2014/12778Abstract
In this work, we present a technique for the analytical solution of systems of sti ordinary dierential equations (SODEs) using the power series method (PSM). Three SODEs systems are solved to show that PSM can nd analytical solutions of SODEs systems in convergent series form. Additionally, we propose a post-treatment of the power series solutions with the Laplace-Pade (LP) resummation method as a powerful technique to nd exact solutions. The proposed method gives a simple procedure based on a few straightforward steps.
Cited by 1
U. Filobello-Nino, H. Vazquez-Leal, A. Sarmiento-Reyes · International Scholarly Research Notices · 2014
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