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INTELLIGENT COMPUTING PARADIGM FOR SECOND-GRADE FLUID IN A ROTATING FRAME IN A FRACTAL POROUS MEDIUM

Mohammad KananJeddah College of Engineering, University of Business and Technology, Jeddah 21432, Saudi ArabiaHABIB ULLAHDepartment of Mathematics, Abdul Wali Khan University, Mardan, 23200 Khyber Pakhtunkhwa, PakistanMuhammad Asif Zahoor RajaFuture Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, TaiwanMehreen FizaDepartment of Mathematics, Abdul Wali Khan University, Mardan, 23200 Khyber Pakhtunkhwa, PakistanHakeem UllahDepartment of Mathematics, Abdul Wali Khan University, Mardan, 23200 Khyber Pakhtunkhwa, PakistanMuhammad ShoaibAI Centre, Yuan Ze University, Taoyun 320, TaiwanAli AkgülDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonJihad AsadDepartment of Physics, Faculty of Science, Plaestine Technical University - Kadoorie Tulkarm, P 305, P. O. Box 7, Palestine
2023en
ABI

Аннотация

The numerical methods such as the artificial neural networks with greater probability and nonlinear configurations are more suitable for estimation and modeling of the problem parameters. The numerical methods are easy to use in applications as these methods do not require costly and time-consuming tests like the experimental study. In this study, we use the Levenberg–Marquardt-based backpropagation Process (LMP) to create a computing paradigm that makes use of the strength of artificial neural networks (ANN), known as (ANN-LMP). Here we use the ANN-LMP to obtain the solution of the second-grade fluid in a rotating frame in a porous material with the impact of a transverse magnetic field. The 1000 data set points in the interval [Formula: see text] are used for the network training to determine the effect of various physical parameters of the flow problem under consideration. The experiment is executed of six scenarios with different physical paramaters. ANN-LMP is used for evaluating the mean square errors (MSE), training (TR), validation (VL), testing (TT), performance (PF) and fitting (FT) of the data. The problem has been verified by error histograms (EH) and regression (RG) measurements, which show high consistency with observed solutions with accuracy ranging from E-5 to E-8. Characteristics of various concerned parameters on the velocity and temperature profiles are studied.

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