Solving a Novel System of Time-Dependent Nuclear Reactor Equations of Fractional Order
Gorde:
| Argitaratua izan da: | Symmetry vol. 16, no. 7 (2024), p. 831 |
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| Beste egile batzuk: | , , , |
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MDPI AG
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| Sarrera elektronikoa: | Citation/Abstract Full Text + Graphics Full Text - PDF |
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| 022 | |a 2073-8994 | ||
| 024 | 7 | |a 10.3390/sym16070831 |2 doi | |
| 035 | |a 3085061669 | ||
| 045 | 2 | |b d20240101 |b d20241231 | |
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| 100 | 1 | |a Filali, Doaa |u Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 84428, Saudi Arabia; <email>dkfilali@pnu.edu.sa</email> | |
| 245 | 1 | |a Solving a Novel System of Time-Dependent Nuclear Reactor Equations of Fractional Order | |
| 260 | |b MDPI AG |c 2024 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a Building upon the previous research that solved neutron diffusion equations in simplified slab geometry, this study advances the field by addressing the more complex cylindrical geometry, focusing on neutron diffusion equations that are coupled with delayed neutrons in cylindrical reactors of fractional order. The method of solving used integrates the technique of residual power series (RPS) with the Laplace transform (LT) method. Anomalous neutron behavior is explained by examining the non-Gaussian scenario with various fractional parameters α. The LRPSM Laplace transform and residual power series method employed in this approach eliminates the complex difficulties. This simplicity makes the method particularly coherent with different fractional calculus applications. To validate the proposed method, numerical simulations are conducted with two different initial conditions representing distinct scenarios. The obtained results are presented in suitable tables and figures. It should be emphasized that this system is solved for the first time utilizing fractional calculus techniques. The outcomes are consistent with those achieved using the Adomian decomposition method. | |
| 653 | |a Calculus | ||
| 653 | |a Time dependence | ||
| 653 | |a Laplace transforms | ||
| 653 | |a Gaussian elimination | ||
| 653 | |a Nuclear reactors | ||
| 653 | |a Fractional calculus | ||
| 653 | |a Geometry | ||
| 653 | |a Initial conditions | ||
| 653 | |a Power series | ||
| 700 | 1 | |a Shqair, Mohammed |u College of Science, Zarqa University, Zarqa 13110, Jordan; <email>mshqair@zu.edu.jo</email> | |
| 700 | 1 | |a Alghamdi, Fatemah A |u Financial Sciences Department, Applied College, Imam Abdulrahman Bin Faisal University, Dammam 31441, Saudi Arabia; <email>faalghamdi@iau.edu.sa</email> | |
| 700 | 1 | |a Sherif Ismaeel |u Department of Physics, Faculty of Science, Prince Sattam Bin Abdulaziz University, Al-Kharj 16278, Saudi Arabia; <email>s.hussien@psau.edu.sa</email>; Department of Physics, Faculty of Science, Ain Shams University, Cairo 11566, Egypt | |
| 700 | 1 | |a Hagag, Ahmed |u Department of Basic Science, Faculty of Engineering, Sinai University, Ismailia 41636, Egypt | |
| 773 | 0 | |t Symmetry |g vol. 16, no. 7 (2024), p. 831 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3085061669/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text + Graphics |u https://www.proquest.com/docview/3085061669/fulltextwithgraphics/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3085061669/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |