Authors:	Gürbüz, Burcu
Title:	A numerical scheme for the solution of neutral integro-differential equations including variable delay
Online publication date:	27-Jun-2022
Year of first publication:	2022
Language:	english
Abstract:	In this study, an effective numerical technique has been introduced for finding the solutions of the first-order integro-differential equations including neutral terms with variable delays. The problem has been defined by using the neutral integro-differential equations with initial value. Then, an alternative numerical method has been introduced for solving these type of problems. The method is expressed by fundamental matrices, Laguerre polynomials with their matrix forms. Besides, the solution has been obtained by using the collocation points with regard to the reduced system of algebraic equations and Laguerre series.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-7218
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Mathematical sciences 16
Pages or article number:	13 21
Publisher:	Springer
Publisher place:	Berlin u.a.
Issue date:	2022
ISSN:	2251-7456
Publisher DOI:	10.1007/s40096-021-00388-3
Appears in collections:	JGU-Publikationen