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Dr. Mohamed Reda Ali Mohamed :: Publications:

Title:
Neuron Analysis of the Two-Point Singular Boundary Value Problems Arising in the Thermal Explosion’s Theory
Authors: Zulqurnain Sabir1 · Hafiz Abdul Wahab1 · Mohamed R. Ali2,3 · R. Sadat4
Year: 2022
Keywords: Thermal explosion’s theory · Singular model · Genetic algorithm · Complexity analysis · Numerical simulations
Journal: Neural Processing Letters
Volume: 2022
Issue: Not Available
Pages: Not Available
Publisher: Not Available
Local/International: International
Paper Link:
Full paper Not Available
Supplementary materials Not Available
Abstract:

artificial neural networks (US-ANNs) for solving a class of two-point nonlinear singular boundary value problems (TPN-SBVPs) arising in the thermal explosion’s theory. The analysis using small and large neurons (3, 10 and 30 neurons) is presented along with the absolute error performances and complexity cost. An error function is optimized using the global and local search mechanisms called genetic algorithm (GA) and active-set approach (ASA) for solving the TPN-SBVPs. The correctness of the designed scheme US-ANNs using the hybrid combination of GA-ASA is approved through the comparison of obtained and true solutions. Moreover, statistical analysis will also be performed to authenticate the reliability and competency of the proposed method for solving the singular model.

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