[PDF][PDF] Method of successive approximations for solving the multi-pantograph delay equations

MA Jafari, A Aminataei - General Mathematics Notes, 2012 - gwdg.de
In this paper, the successive approximations method is applied to solve multi-pantograph
equations. The multi-pantograph equation is a kind of delay differential equations (DDEs) …

A Galerkin-like approach to solve multi-pantograph type delay differential equations

Ş Yüzbaşı, M Karaçayır - Filomat, 2018 - doiserbia.nb.rs
In this paper, a Galerkin-like approach is presented to numerically solve multi-pantograph
type delay differential equations. The method includes taking inner product of a set of …

A new computational approach for the solutions of generalized pantograph-delay differential equations

L Xie, C Zhou, S Xu - Computational and Applied Mathematics, 2018 - Springer
In this study, a new computational approach is presented to solve the generalized
pantograph-delay differential equations (PDDEs). The solutions obtained by our scheme …

Runge–Kutta methods for the multi-pantograph delay equation

D Li, MZ Liu - Applied mathematics and computation, 2005 - Elsevier
This paper deals with the properties of the numeric solution of the multi-pantograph equation
[Formula: see text] where 0< ql<⋯< q2< q1< 1 and λ, μ1, μ2,…, μl, u0∈ C. We gave the …

[HTML][HTML] An exponential approximation for solutions of generalized pantograph-delay differential equations

Ş Yüzbaşı, M Sezer - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, a new matrix method based on exponential polynomials and collocation points
is proposed for solutions of pantograph equations with linear functional arguments under the …

[PDF][PDF] A Symbolic Method for Finding Approximate Solution of Neutral Functional-Differential Equations with Proportional Delays

S Thota, SD Kumar - Jordan Journal of Mathematics and Statistics, 2021 - researchgate.net
This paper presents a new symbolic method for finding an approximate solution of neutral
functional-differential equations with proportional delays having variable coefficients in an …

Approximate analytical solution of the linear and nonlinear multi-pantograph delay differential equations

MSM Bahgat - Physica Scripta, 2020 - iopscience.iop.org
In this paper, a combination of Laplace transform and variational iteration method are
applied to get an approximate analytic solution for the multi-pantograph delay with higher …

Analytical approximate solutions of systems of multi-pantograph delay differential equations using residual power-series method

I Komashynska, M Al-Smadi, A Al-Habahbeh… - arXiv preprint arXiv …, 2016 - arxiv.org
This paper investigates analytical approximate solutions for a system of multipantograph
delay differential equations using the residual power series method (RPSM), which obtains …

A numerical framework for solving high-order pantograph-delay Volterra integro-differential equations

F Mirzaee, S Bimesl, E Tohidi - Kuwait Journal of Science, 2016 - journalskuwait.org
In this paper, we present an efficient numerical method to solve Volterra
integrodifferentialequations of pantograph-delay type. We use the Euler polynomials …

Tau approximate solution of linear pantograph Volterra delay-integro-differential equation

J Zhao, Y Cao, Y Xu - Computational and Applied Mathematics, 2020 - Springer
Tau approximate solution of linear pantograph Volterra delay-integro-differential equation |
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