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 · pp. 2738–2751 · Published 12 Jul 2014
10.9734/BJMCS/2014/11839Abstract
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 nonlinear pantograph cases study are: a first order equation, a second order equation, and a second order singular equation. Additionally, we present the post-treatment of the power series solutions with the Laplace-Pad´e (LP) resummation method as a powerful technique to find exact solutions. The proposed methodology possesses a simple procedure based on a few straightforward steps and it does not depend on a perturbation parameter.
Cited by 13
M. Mustafa Bahşi, Mehmet Çevik · Journal of Applied Mathematics · 2015
Brahim Benhammouda, Hector Vazquez-Leal · SpringerPlus · 2016
Sevin GÜMGÜM, Nurcan BAYKUŞ SAVAŞANERİL, Ömür Kıvanç KÜRKÇÜ · Hacettepe Journal of Mathematics and Statistics · 2020
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