Work

Procedure for Exact Solutions of Sti Ordinary Dierential Equations Systems

Year: 2014

Type: article

Abstract: 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.

Source: British Journal of Mathematics & Computer Science

DOI: 10.9734/bjmcs/2014/12778

Authors: Brahim Benhammouda, Hector Vazquez-Leal, L. Benhamouche, H. Zahed, Y. Einaga, A. Sarmiento-Reyes, A. Marin-Hernandez, J. Huerta-Chua

Institutions: Higher Colleges of Technology, Universidad Veracruzana, University of Blida, Taibah University, National Institute of Astrophysics, Optics and Electronics

Language: English

Topic: Numerical Solvers for Ordinary Differential Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W1977181139

FWCI: 0.707

Cites: 29

Cited by: 2

Related to: 10