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- Title
COMPUTATIONAL PERFORMANCES OF MORLET WAVELET NEURAL NETWORK FOR SOLVING A NONLINEAR DYNAMIC BASED ON THE MATHEMATICAL MODEL OF THE AFFECTION OF LAYLA AND MAJNUN.
- Authors
SABIR, ZULQURNAIN; BALEANU, DUMITRU; RAJA, MUHAMMAD ASIF ZAHOOR; ALSHOMRANI, ALI S.; HINCAL, EVREN
- Abstract
The aim of this study is to design a novel stochastic solver through the Morlet wavelet neural networks (MWNNs) for solving the mathematical Layla and Majnun (LM) system. The numerical representations of the mathematical LM system have been presented by using the MWNNs along with the optimization is performed through the hybridization of the global and local search schemes. The local active-set (AS) and global genetic algorithm (GA) operators have been used to optimize an error-based merit function using the differential LM model and its initial conditions. The correctness of the MWNNs using the local and global operators is observed through the comparison of the obtained solutions and the Adams scheme, which is used as a reference solution. For the stability of the MWNNs using the global and local operators, the statistical performances with different operators have been provided using the multiple executions to solve the nonlinear LM system.
- Subjects
MATHEMATICAL models; GENETIC algorithms; NONLINEAR systems; EXPERIMENTAL design
- Publication
Fractals, 2023, Vol 31, Issue 2, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X23400169