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

Zulqurnain Sabir, Salem Ben Said

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number104509
JournalArabian Journal of Chemistry
Volume16
Issue number3
DOIs
Publication statusPublished - Mar 2023

Keywords

  • Artificial neural networks
  • Delay
  • Global scheme
  • Local approach
  • Perturbed
  • Singular differential model

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)

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