SOFT COMPUTING ARTICIAL INTELLIGENCE OF SCHRöDINGER TIME INDEPENDENT EQUATION ARISES IN WHEELER-DEWITT MODEL OF QUANTUM COSMOLOGY
- Авторлар: Basat N.U.1, Asghar M.2
 - 
							Мекемелер: 
							
- Department of Mathematics, Grand Asian University Sialkot, Pasrur Road,
 - Department of Mathematics, University of Gujrat, Haz Hayyat Campus,
 
 - Шығарылым: Том 63, № 11 (2023)
 - Беттер: 1936-1936
 - Бөлім: Computer science
 - URL: https://vietnamjournal.ru/0044-4669/article/view/664959
 - DOI: https://doi.org/10.31857/S0044466923110078
 - EDN: https://elibrary.ru/AJKJRN
 - ID: 664959
 
Дәйексөз келтіру
Аннотация
Schrödinger time independent equation arises in Wheeler–DeWitt model of quantum cosmology to develop a wave function for the corrections of cosmologies. In this work, k=0  rödinger–Wheeler–DeWitt model is developed by using canonical transformation to transformed Hamiltonian equation. The exact solutions for flat universe (
) model is presented and then soft computing technique through Levenberg–Marquardt backpropagation neural networks (LMB-NNs) is implemented. The data set of the flat universe model is generated for four different cases of separation constant B  with step size 0.1  by Mathematica and imported into LMB-NNs for training, testing, and validation of the our proposed technique. The performance of LMB-NNs is provided by the validation of mean square error, error histogram, and regression analysis. The Statistical analysis; mean, minimum, maximum, and standard deviation, is also presented.
Негізгі сөздер
Авторлар туралы
Najam Basat
Department of Mathematics, Grand Asian University Sialkot, Pasrur Road,
														Email: najam.basat@gaus.edu.pk
				                					                																			                												                								Pakistan, 51310, Punjab, Sialkot						
Mahmoona Asghar
Department of Mathematics, University of Gujrat, Haz Hayyat Campus,
							Хат алмасуға жауапты Автор.
							Email: 17016109-006@uog.edu.pk
				                					                																			                												                								Pakistan, 50700,, Punjab, Gujrat						
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