A Taylor collocation method for solving delay integral equations

A Taylor collocation method for solving delay integral equations

A numerical method based on the use of Taylor polynomials is proposed to construct a collocation solution for approximating the solution of delay integral equations. It is shown that this method is convergent. Some numerical examples are given to show the validity of the presented method.

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Veröffentlicht in:Numerical algorithms 2014-04, Vol.65 (4), p.843-857
Hauptverfasser: Bellour, Azzeddine, Bousselsal, Mahmoud
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Approximation
Collocation
Collocation methods
Computer Science
Construction
Delay
Integral equations
Mathematical analysis
Mathematical models
Numeric Computing
Numerical Analysis
Numerical methods
Original Paper
Polynomials
Theory of Computation
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Beschreibung
Zusammenfassung:A numerical method based on the use of Taylor polynomials is proposed to construct a collocation solution for approximating the solution of delay integral equations. It is shown that this method is convergent. Some numerical examples are given to show the validity of the presented method.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-013-9717-8