Sabir, Z.; Arbi, A.; Hashem, A.F.; Abdelkawy, M.A. Morlet Wavelet Neural Network Investigations to Present the Numerical Investigations of the Prediction Differential Model. Mathematics2023, 11, 4480.
Sabir, Z.; Arbi, A.; Hashem, A.F.; Abdelkawy, M.A. Morlet Wavelet Neural Network Investigations to Present the Numerical Investigations of the Prediction Differential Model. Mathematics 2023, 11, 4480.
Sabir, Z.; Arbi, A.; Hashem, A.F.; Abdelkawy, M.A. Morlet Wavelet Neural Network Investigations to Present the Numerical Investigations of the Prediction Differential Model. Mathematics2023, 11, 4480.
Sabir, Z.; Arbi, A.; Hashem, A.F.; Abdelkawy, M.A. Morlet Wavelet Neural Network Investigations to Present the Numerical Investigations of the Prediction Differential Model. Mathematics 2023, 11, 4480.
Abstract
In this study, a design of Morlet wavelet neural networks (MWNNs) is presented to solve the prediction differential model (PDM) using the global approximation capability of genetic algorithm (GA) and local quick interior-point algorithm scheme (IPAS), i.e., MWNN-GAIPAS. The famous PDM is known as a variant of functional differential system that works as an opposite of the historical delay differential models. A fitness function is optimized using the mean square error by applying the GA-IPAS for solving the PDM. Three PDM examples have been presented numerically to check the authenticity of the MWNN-GAIPAS. For the perfection of the designed MWNN-GAIPAS, the comparability of the obtained results and exact results is performed. Moreover, the neuron analysis is performed by taking the 3, 10 and 20 number of neurons. The statistical observations have been performed to authenticate the reliability of the MWNN-GAIPAS for solving the PDM.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
