A New Stochastic Technique for Painleve Equation-I Using Neural Network Optimized with Swarm Intelligence

作者:Raja Muhammad Asif Zahoor*; Khan Junaid Ali; Ahmad Siraj ul Islam; Qureshi Ijaz Mansoor
来源:Computational Intelligence and Neuroscience, 2012, 721867.
DOI:10.1155/2012/721867

摘要

A methodology for solution of Painleve equation-I is presented using computational intelligence technique based on neural networks and particle swarm optimization hybridized with active set algorithm. The mathematical model of the equation is developed with the help of linear combination of feed-forward artificial neural networks that define the unsupervised error of the model. This error is minimized subject to the availability of appropriate weights of the networks. The learning of the weights is carried out using particle swarm optimization algorithm used as a tool for viable global search method, hybridized with active set algorithm for rapid local convergence. The accuracy, convergence rate, and computational complexity of the scheme are analyzed based on large number of independents runs and their comprehensive statistical analysis. The comparative studies of the results obtained are made with MATHEMATICA solutions, as well as, with variational iteration method and homotopy perturbation method.

  • 出版日期2012