Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system

The purpose of the present work is to solve a third kind of multi-singular nonlinear system using the neuro-swarm computing solver based on the artificial neural networks (ANNs) optimized with the effectiveness of particle swarm optimization (PSO) maintained by a local search proficiency of interior...

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Autores principales:	Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Aldawoud Kamal, Juan L.G. Guirao, Dac-Nhuong Le, Tareq Saeed, Mohamad Salama
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	nonlinear singular system artificial neural networks multi-singular interior-point algorithm statistical analysis hybrid approach Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/1e1f9f37eea14b2d93216283adc5ac02
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spelling	oai:doaj.org-article:1e1f9f37eea14b2d93216283adc5ac022021-11-09T02:03:02ZNeuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system10.3934/mbe.20212681551-0018https://doaj.org/article/1e1f9f37eea14b2d93216283adc5ac022021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021268?viewType=HTMLhttps://doaj.org/toc/1551-0018The purpose of the present work is to solve a third kind of multi-singular nonlinear system using the neuro-swarm computing solver based on the artificial neural networks (ANNs) optimized with the effectiveness of particle swarm optimization (PSO) maintained by a local search proficiency of interior-point algorithm (IPA), i.e., ANN-PSO-IPA. An objective function is designed using the continuous mapping of ANN for nonlinear multi-singular third order system of Emden-Fowler equations and optimization of fitness function carried out with the integrated strength of PSO-IPA. The motivation to design the ANN-PSO-IPA is to present a feasible, reliable and feasible framework to handle with such complicated nonlinear multi-singular third order system of Emden-Fowler model. The designed ANN-PSO-IPA is tested for three different nonlinear variants of the multi-singular third kind of Emden-Fowler system. The obtained numerical results on single/multiple executions of the designed ANN-PSO-IPA are used to endorse the precision, viability and reliability.Zulqurnain SabirMuhammad Asif Zahoor RajaAldawoud KamalJuan L.G. GuiraoDac-Nhuong LeTareq Saeed Mohamad SalamaAIMS Pressarticlenonlinear singular systemartificial neural networksmulti-singularinterior-point algorithmstatistical analysishybrid approachBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5285-5308 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	nonlinear singular system artificial neural networks multi-singular interior-point algorithm statistical analysis hybrid approach Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	nonlinear singular system artificial neural networks multi-singular interior-point algorithm statistical analysis hybrid approach Biotechnology TP248.13-248.65 Mathematics QA1-939 Zulqurnain Sabir Muhammad Asif Zahoor Raja Aldawoud Kamal Juan L.G. Guirao Dac-Nhuong Le Tareq Saeed Mohamad Salama Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system
description	The purpose of the present work is to solve a third kind of multi-singular nonlinear system using the neuro-swarm computing solver based on the artificial neural networks (ANNs) optimized with the effectiveness of particle swarm optimization (PSO) maintained by a local search proficiency of interior-point algorithm (IPA), i.e., ANN-PSO-IPA. An objective function is designed using the continuous mapping of ANN for nonlinear multi-singular third order system of Emden-Fowler equations and optimization of fitness function carried out with the integrated strength of PSO-IPA. The motivation to design the ANN-PSO-IPA is to present a feasible, reliable and feasible framework to handle with such complicated nonlinear multi-singular third order system of Emden-Fowler model. The designed ANN-PSO-IPA is tested for three different nonlinear variants of the multi-singular third kind of Emden-Fowler system. The obtained numerical results on single/multiple executions of the designed ANN-PSO-IPA are used to endorse the precision, viability and reliability.
format	article
author	Zulqurnain Sabir Muhammad Asif Zahoor Raja Aldawoud Kamal Juan L.G. Guirao Dac-Nhuong Le Tareq Saeed Mohamad Salama
author_facet	Zulqurnain Sabir Muhammad Asif Zahoor Raja Aldawoud Kamal Juan L.G. Guirao Dac-Nhuong Le Tareq Saeed Mohamad Salama
author_sort	Zulqurnain Sabir
title	Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system
title_short	Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system
title_full	Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system
title_fullStr	Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system
title_full_unstemmed	Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system
title_sort	neuro-swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/1e1f9f37eea14b2d93216283adc5ac02
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Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system

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