A generalised integral quadratic method: improvement of the solution for one dimensional Volterra integral equation using particle swarm optimisation. (13th February 2006)

• Record Type: Journal Article
• Authors: Zerarka, A.; Khelil, N.; Saidi, H.
• Is Part Of: International journal of simulation and process modelling. Volume 2:Number 1/2(2006)
• Page Start: 85
• Page End: 91
• Publication Date: 2006-02-13
• Subjects: quadratic equations -- nonlinear -- Volterra integral equation -- particle swarm optimisation -- PSO -- simulation algorithm -- generalised integral quadratic method; Management -- Computer simulation -- Periodicals; Mathematical models -- Periodicals; Operations research -- Periodicals; Simulation methods -- Periodicals; 003.05
• Languages: English
• ISSNs: 1740-2123

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.