Hector Vazquez-Leal

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 · 2014

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. Ad...

Open access Research Article 10.9734/BJMCS/2014/12778

Solution Procedure for Systems of Partial Dierential-Algebraic Equations by NHPM and Laplace-Padé Resummation

Brahim Benhammouda, Hector Vazquez-Leal & Arturo Sarmiento-Reyes · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, we propose an ecient modication of a New Homotopy Perturbation Method (NHPM) to obtain approximate and exact analytical solutions of Partial Dierential-Algebraic Equations (PDAEs). The NHPM is rst applied to the PDAE to obtain the exact solution in convergent serie...

Open access Research Article 10.9734/BJMCS/2014/12168

Procedure for Exact Solutions of Nonlinear Pantograph Delay Differential Equations

Brahim Benhammouda, Hector Vazquez-Leal & Luis Hernandez-Martinez · Journal of Advances in Mathematics and Computer Science · 2014

This work presents the application of the power series method (PSM) to find solutions of nonlinear delay differential equations of pantograph type (PDDEs). Three equations are solved to show that PSM can provide analytical solutions of PDDEs in convergent series form. The nonline...

Open access Research Article 10.9734/BJMCS/2014/11839