Title
Neural network methods to solve the Lane-Emden type equations arising in thermodynamic studies of the spherical gas cloud model.
Abstract
In the present study, stochastic numerical computing approach is developed by applying artificial neural networks (ANNs) to compute the solution of Lane–Emden type boundary value problems arising in thermodynamic studies of the spherical gas cloud model. ANNs are used in an unsupervised manner to construct the energy function of the system model. Strength of efficient local optimization procedures based on active-set (AS), interior-point (IP) and sequential quadratic programming (SQP) algorithms is used to optimize the energy functions. The performance of all three design methodologies ANN-AS, ANN-IP and ANN-SQP is evaluated on different nonlinear singular systems. The effectiveness of the proposed schemes in terms of accuracy and convergence is established from the results of statistical indicators.
Year
DOI
Venue
2017
10.1007/s00521-016-2400-y
Neural Computing and Applications
Keywords
Field
DocType
Artificial neural networks, Nonlinear singular system, Active-set method, Interior-point method, Sequential quadratic programming, Intelligent computing, Thermodynamics studies
Convergence (routing),Mathematical optimization,Nonlinear system,Force field (chemistry),Active set method,Artificial intelligence,Local search (optimization),Artificial neural network,Sequential quadratic programming,Interior point method,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
28
S-1
1433-3058
Citations 
PageRank 
References 
13
0.58
27
Authors
4
Name
Order
Citations
PageRank
Iftikhar Ahmad1282.99
Muhammad Asif Zahoor Raja255145.88
Muhammad Bilal3151.34
Farooq Ashraf4130.58