The Particle Swarm Shooting Method for Solving the Bratu's Problem. Issue 3 (September 2015)

• Record Type: Journal Article
• Authors: Xu, Yinghong; Li, Xiangjie; Zhang, Lipu
• Is Part Of: Journal of algorithms & computational technology. Volume 9:Issue 3(2015)
• Page Start: 291
• Page End: 302
• Publication Date: 2015-09
• Subjects: Bratu's Problem -- Particles Optimization -- Runge-Kutta Method; Computer algorithms -- Periodicals; Numerical calculations -- Periodicals; Computer algorithms; Numerical calculations; Periodicals; 518.1
• DOI: 10.1260/1748-3018.9.3.291
• Languages: English
• ISSNs: 1748-3018

Abstract

We transform the Bratu's problem directly into an unconstrained optimization problem, and then solve it by a simple algorithm, which combining the particle swarm optimization algorithm with Runge-kutta method together. We compare the numerical performance of the proposed optimization algorithm with the existing methods, and the numerical results show that the proposed new method is quite promising.