Title: A generalised integral quadratic method: improvement of the solution for one dimensional Volterra integral equation using particle swarm optimisation

Authors: A. Zerarka, N. Khelil, H. Saidi

Addresses: Labo de Mathematiques Appliquees, Universite Med Khider, BP145, 07000 Biskra, Algeria. ' Labo de Mathematiques Appliquees, Universite Med Khider, BP145, 07000 Biskra, Algeria. ' Labo de Mathematiques Appliquees, Universite Med Khider, BP145, 07000 Biskra, Algeria

Abstract: In a previous work, we have introduced the generalised integral quadratic method (GIQ) to handle the Volterra|s integral equations in which the interpolating points of Tchebychev have been used. In this paper the particle swarm optimisation (PSO) is considered to improve, qualitatively, the solutions. This new approach is investigated and tested with some numerical examples in the linear and nonlinear cases.

Keywords: quadratic equations; nonlinear; Volterra integral equation; particle swarm optimisation; PSO; simulation algorithm; generalised integral quadratic method.

DOI: 10.1504/IJSPM.2006.009016

International Journal of Simulation and Process Modelling, 2006 Vol.2 No.1/2, pp.85 - 91

Published online: 12 Feb 2006 *

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