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Neural Computing and Applications

, Volume 31, Issue 3, pp 793–812 | Cite as

Numerical solution of doubly singular nonlinear systems using neural networks-based integrated intelligent computing

  • Muhammad Asif Zahoor RajaEmail author
  • Jabran Mehmood
  • Zulqurnain Sabir
  • A. Kazemi Nasab
  • Muhammad Anwaar Manzar
Original Article
  • 91 Downloads

Abstract

In this paper, a bio-inspired computational intelligence technique is presented for solving nonlinear doubly singular system using artificial neural networks (ANNs), genetic algorithms (GAs), sequential quadratic programming (SQP) and their hybrid GA–SQP. The power of ANN models is utilized to develop a fitness function for a doubly singular nonlinear system based on approximation theory in the mean square sense. Global search for the parameters of networks is performed with the competency of GAs and later on fine-tuning is conducted through efficient local search by SQP algorithm. The design methodology is evaluated on number of variants for two point doubly singular systems. Comparative studies with standard results validate the correctness of proposed schemes. The consistent correctness of the proposed technique is proven through statistics using different performance indices.

Keywords

Singular systems Artificial neural networks Genetic algorithm Sequential quadratic programming Integrating computing 

Notes

Compliance with ethical standards

Conflict of interest

All the authors of the manuscript declared that there is no conflict of interest.

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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  1. 1.Department of Electrical EngineeringCOMSATS Institute of Information Technology, Attock CampusAttockPakistan
  2. 2.Department of MathematicsPreston University Kohat, Islamabad CampusKohatPakistan
  3. 3.Department of MathematicsCapital University of Science and TechnologyIslamabadPakistan
  4. 4.School of Mathematical SciencesUniversiti Sains MalaysiaGelugorMalaysia
  5. 5.Hamdard Institute of Engineering and TechnologyHamdard UniversityIslamabadPakistan

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