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 …

[PDF][PDF] A new approach for solving multi-pantograph type delay differential equations.

N Anakira, A Jameel, M Hijazi… - International Journal of …, 2022 - researchgate.net
In this paper, a modified procedure based on the residual power series method (RPSM) was
implemented to achieve approximate solution with high degree of accuracy for a system of …

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 …

Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation

MM Bahşı, M Çevik, M Sezer - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, a new matrix method based on orthogonal exponential (orthoexponential)
polynomials and collocation points is proposed to solve the high-order linear delay …

Procedure for exact solutions of nonlinear pantograph delay differential equations

B Benhammouda, H Vazquez-Leal… - British Journal of …, 2014 - library.go4manusub.com
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 …

Intelligent computing technique for solving singular multi-pantograph delay differential equation

Z Sabir, HA Wahab, TG Nguyen, GC Altamirano… - Soft Computing, 2022 - Springer
The purpose of this study is to introduce a stochastic computing solver for the multi-
pantograph delay differential equation (MP-DDE). The MP-DDE is not easy to solve due to …

Two Different Analytical Approaches for Solving the Pantograph Delay Equation with Variable Coefficient of Exponential Order

R Alrebdi, HK Al-Jeaid - Axioms, 2024 - mdpi.com
The pantograph equation is a basic model in the field of delay differential equations. This
paper deals with an extended version of the pantograph delay equation by incorporating a …

A Taylor operation method for solutions of generalized pantograph type delay differential equations

Ş YÜZBAŞI, N Ismailov - Turkish Journal of Mathematics, 2018 - journals.tubitak.gov.tr
In this paper, a new operational matrix method based on the Taylor polynomials is
presented to solve generalized pantograph type delay differential equations. The method is …

[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 …

Laguerre matrix-collocation method to solve systems of pantograph type delay differential equations

B Gürbüz, M Sezer - … Mathematics and Engineering Sciences (CMES-2019 …, 2020 - Springer
In this study, an improved matrix method based on collocation points is developed to obtain
the approximate solutions of systems of high-order pantograph type delay differential …