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- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Springer Science+Business Media B.V.
- Subject
- Computer Science; Computer Science, general; Statistical Physics, Dynamical Systems and Complexity; Mathematics, general; Artificial Intelligence (incl. Robotics)
- ISSN
- 1012-2443
- eISSN
- 1573-7470
- DOI
- 10.1007/s10472-010-9222-x
- Publisher site
- See Article on Publisher Site
Abstract
In this article, a stochastic technique has been developed for the solution of nonlinear Riccati differential equation of fractional order. Feed-forward artificial neural network is employed for accurate mathematical modeling and learning of its weights is made with heuristic computational algorithm based on swarm intelligence. In this scheme, particle swarm optimization is used as a tool for the rapid global search method, and simulating annealing for efficient local search. The scheme is equally capable of solving the integer order or fractional order Riccati differential equations. Comparison of results was made with standard approximate analytic, as well as, stochastic numerical solvers and exact solutions.
Journal
Annals of Mathematics and Artificial Intelligence – Springer Journals
Published: Jan 13, 2011