Title of article
A numerical approach for a nonhomogeneous differential equation with variable delays
Author/Authors
O¨ zel, Mustafa Department of Geophysical Engineering - Faculty of Engineering - Dokuz Eylul University - Tınaztepe Campus - Buca - 35160 I˙zmir, Turkey , Tarakçı, Mehmet Department of Physics - Faculty of Science - Dokuz Eylul University - Tınaztepe Campus - Buca, 35160 I˙zmir, Turkey , Sezer, Mehmet Department of Mathematics - Faculty of Art and Science - Celal Bayar University - Manisa, Turkey
Pages
11
From page
145
To page
155
Abstract
In this study, we consider a linear nonhomogeneous differential equation with variable coefficients and variable delays and
present a novel matrix-collocation method based on Morgan–Voyce polynomials to obtain the approximate solutions under
the initial conditions. The method reduces the equation with variable delays to a matrix equation with unknown Morgan–
Voyce coefficients. Thereby, the solution is obtained in terms of Morgan–Voyce polynomials. In addition, two test
problems together with error analysis are performed to illustrate the accuracy and applicability of the method; the obtained
results are scrutinized and interpreted by means of tables and figures.
Keywords
Morgan–Voyce polynomials , Matrix method , Collocation method , Delay differential equation , Variable delay
Journal title
Astroparticle Physics
Serial Year
2018
Record number
2449429
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