Numerical solution of delay integro-differential equations by using Taylor collocation method

Numerical solution of delay integro-differential equations by using Taylor collocation method

This paper is concerned with the numerical solution of delay integro‐differential equations. The main purpose of this work is to provide a new numerical approach based on the use of continuous collocation Taylor polynomials for the numerical solution of delay integro‐differential equations. It is sh...

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Veröffentlicht in:Mathematical methods in the applied sciences 2014-07, Vol.37 (10), p.1491-1506
Hauptverfasser: Bellour, Azzeddine, Bousselsal, Mahmoud
Format: Artikel
Sprache:eng
Schlagworte:
Collocation
collocation method
Collocation methods
Delay
delay integro-differential equation
Illustrations
Mathematical analysis
Mathematical models
Polynomials
Taylor polynomials
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Zusammenfassung:This paper is concerned with the numerical solution of delay integro‐differential equations. The main purpose of this work is to provide a new numerical approach based on the use of continuous collocation Taylor polynomials for the numerical solution of delay integro‐differential equations. It is shown that this method is convergent. Numerical illustrations confirm our theoretical analysis. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.2910