Neuron Analysis of the Two-Point Singular Boundary Value Problems Arising in the Thermal Explosion’s Theory
Neural Processing Letters • 2022
معلومات البحث
المؤلفون
Zulqurnain Sabir1 · Hafiz Abdul Wahab1 · Mohamed R. Ali2,3 · R. Sadat4
الكلمات المفتاحية
Thermal explosion’s theory · Singular model · Genetic algorithm · Complexity
analysis · Numerical simulations
المجلة العلمية
Neural Processing Letters
الناشر
Not Available
المجلد
2022
العدد
Not Available
الصفحات
Not Available
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
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.
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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