Heuristic computing for the novel singular third order perturbed delay differential model arising in thermal explosion theory

In this study, a novel singular third order perturbed delay differential model (STO-PDDM) is designed with its two types using the traditional Lane-Emden model. The descriptions of delay/shape perturbed, and singular factors are also presented for both types of STO-PDDM. The artificial neural networ...

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Bibliographic Details
Published in:Arabian journal of chemistry 2023-03, Vol.16 (3), p.104509, Article 104509
Main Authors: Sabir, Zulqurnain, Ben Said, Salem
Format: Article
Language:English
Subjects:
Artificial neural networks
Delay
Global scheme
Local approach
Perturbed
Singular differential model
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Summary:In this study, a novel singular third order perturbed delay differential model (STO-PDDM) is designed with its two types using the traditional Lane-Emden model. The descriptions of delay/shape perturbed, and singular factors are also presented for both types of STO-PDDM. The artificial neural networks (ANNs) along with the optimization of global/local performances based on genetic algorithm (GA) and interior-point algorithm (IPA) have been used to solve the STO-PDDM. The optimization is performed using the GAIPA based on the activation function through the differential form of STO-PDDM. For solving STO-PDDM, the system's accuracy, substantiation, and authenticity have been performed by using the comparison of obtained and exact solutions. The accessible approximate solutions are used to evaluate the computational approach's robustness, stability, correctness, and convergence. The reliability of the scheme is performed through different statistical measures for solving the STO-PDDM.
ISSN:1878-5352
1878-5379
DOI:10.1016/j.arabjc.2022.104509