Numerical Solution of Second-Order Linear Delay Differential and Integro-Differential Equations by Using Taylor Collocation Method-Reference-Cited by-同舟云学术

Numerical Solution of Second-Order Linear Delay Differential and Integro-Differential Equations by Using Taylor Collocation Method

Published:2019-10-08 Issue:09 Volume:17 Page:1950070
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

Bellour A.¹^ORCID,Bousselsal M.²,Laib H.²

Affiliation:

1. Laboratory of Applied Mathematics and Didactics, Ecole Normale Supérieure de Constantine, Constantine, Algeria

2. Laboratoire d’analyse nonlineaire Vieux Kouba, 11 16050, Algiers, Algeria

Abstract

The main purpose of this work is to provide a numerical approach for linear second-order differential and integro-differential equations with constant delay. An algorithm based on the use of Taylor polynomials is developed to construct a collocation solution [Formula: see text] for approximating the solution of second-order linear DDEs and DIDEs. It is shown that this algorithm is convergent. Some numerical examples are included to demonstrate the validity of this algorithm.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876219500701

Reference38 articles.

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4. Numerical Methods for Delay Differential Equations

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