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Dynamics of multi-point singular fifth-order Lane-Emden system with neuro-evolution heuristics
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  • zulqurnain sabir,
  • Mohamed Ali,
  • Muhammad Asif Zahoor Raja,
  • rahma sadat,
  • D. Baleanu
zulqurnain sabir
Hazara University
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Mohamed Ali
Banha University
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Muhammad Asif Zahoor Raja
COMSATS Institute of Information Technology - Attock
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rahma sadat
Zagazig University Faculty of Engineering
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D. Baleanu
Cankaya University
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Abstract

Aim of the presented study is to investigate the numerical solution of fifth-order nonlinear Lane-Emden (LE) based singular system at the origin with different shape factors developed on the analogous pattern of standard second order LE equations. The stochastic neuro-evolution computing is exploited for numerical outcomes by using the artificial neural networks (ANNs) for applicable mapping and learning of decision variables with integrated meta-heuristics of genetic algorithms (GAs) for global search aided with the rapid local search of active-set (AS) i.e., ANN-GA-AS algorithm. The designed numerical computing approach ANN-GA-AS implemented effectively for solving fifth-order nonlinear LE singular system and results of statistical assessments further authenticate the accuracy, convergence, and stability.