أعضاء هيئة التدريس - جامعة بنها
FRACTIONAL MEYER NEURAL NETWORK PROCEDURES OPTIMIZED BY THE GENETIC ALGORITHM TO SOLVE THE BAGLEY-TORVIK MODEL
, Journal of Applied Analysis & Computation • 2023
معلومات البحث
المؤلفون
Zulqurnain Sabir, Muhammad Asif Zahoor Raja, R. Sadat, Khaled. S. Ahmed, Mohamed R. Ali, and Wael Al-Kouz
الكلمات المفتاحية
Fractional Meyer neural network; Bagley–Torvik model; Genetic algorithm;
Statistical analysis; Interior-point algorithm
المجلة العلمية
, Journal of Applied Analysis & Computation
الناشر
Not Available
المجلد
Not Available
العدد
Not Available
الصفحات
Not Available
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
: The current investigations are related to indicate a competent numerical fractional
Meyer neural network (FMNN) procedure using the optimization of genetic algorithm and interiorpoint algorithm (GAIPA), i.e., FMNN-GAIPA for solving the Bagley–Torvik model (BTM). A
merit function based on the differential BTM form, and its corresponding initial conditions is
constructed and then optimized with the FMNN-GAIPA. Three different BTM cases will be solved
through the FMNN-GAIPA and the correctness of the proposed FMNN-GAIPA is observed by
using the comparison for each case of the BTM with the exact solutions. The statistical
investigations based on the appropriate large independent trials recognized the constancy of the
FMNN-GAIPA in terms of robustness, convergence, and stability trials. In addition, the
annotations over the statistical measures validate the values of FMNN-GAIPA
Meyer neural network (FMNN) procedure using the optimization of genetic algorithm and interiorpoint algorithm (GAIPA), i.e., FMNN-GAIPA for solving the Bagley–Torvik model (BTM). A
merit function based on the differential BTM form, and its corresponding initial conditions is
constructed and then optimized with the FMNN-GAIPA. Three different BTM cases will be solved
through the FMNN-GAIPA and the correctness of the proposed FMNN-GAIPA is observed by
using the comparison for each case of the BTM with the exact solutions. The statistical
investigations based on the appropriate large independent trials recognized the constancy of the
FMNN-GAIPA in terms of robustness, convergence, and stability trials. In addition, the
annotations over the statistical measures validate the values of FMNN-GAIPA