Title
Heuristic computational intelligence approach to solve nonlinear multiple singularity problem of sixth Painlev'e equation.
Abstract
The present study investigate the numerical solution of nonlinear singular system represented with sixth Painlev́e equation by the strength of artificial intelligence using feed-forward artificial neural networks (ANNs) optimized with genetic algorithms (GAs), interior point technique (IPT), sequential quadratic programming (SQP), and their hybrids. The ANN provided a compatible method for finding nature-inspired mathematical model based on unsupervised error for sixth Painlev́e equation and adaptation of weights of these networks is carried out globally by the competency of GA aided with IPT or SQP algorithms. Moreover, a hybrid approach has been adopted for better proposed numerical results. An extensive statistical analysis has been performed through several independent runs of algorithms to validate the accuracy, convergence, and exactness of the proposed scheme.
Year
DOI
Venue
2019
10.1007/s00521-017-2982-z
Neural Computing and Applications
Keywords
DocType
Volume
Painlev́e, ANN, Activation function, GA, AI
Journal
31
Issue
ISSN
Citations 
1
1433-3058
0
PageRank 
References 
Authors
0.34
5
4
Name
Order
Citations
PageRank
Iftikhar Ahmad1282.99
Abdul Rehman200.34
Fayyaz Ahmad34910.88
Muhammad Asif Zahoor Raja455145.88