Solution of nonlinear fractional-order models of nuclear reactor with parallel computing: Implementation on GPU platform

作     者：Keluskar, Yugesh C. Singhaniya, Navin G. Vyawahare, Vishwesh A. Jage, Chaitanya S. Patil, Parag Espinosa-Paredes, Gilberto 

作者机构：DY Patil Deemed Univ Nerul Ramrao Adik Inst Technol Dept Elect Engn Navi Mumbai 400706 Maharashtra India Univ Autonoma Metropolitana Iztapalapa Area Ingn Recursos Energet Av San Rafael Atlixco 186 Mexico City 09340 Mexico 

出 版 物：《ANNALS OF NUCLEAR ENERGY》 (核能纪事)

年 卷 期：2024年第195卷

核心收录：

学科分类：08[工学] 0827[工学-核科学与技术] 

主　　题：Fractional differential equations Adams-Bashforth-Moulton method Fractional neutron point kinetics GPU CUDA Parallel computing 

摘      要：This paper present novel parallel computing algorithms for numerical solution of nonlinear fractional-order (FO) models of nuclear reactor. These FO models arise by virtue of considering neutron transport in nuclear reactor as subdiffusion. The numerical computation of these FO models is carried out by parallelizing the sequential steps in Adams-Bashforth-Moulton method. A comparison of parallel execution on MATLAB and CUDA platforms is also given. The parallel computation is executed by harnessing multicore architecture of the general purpose graphics processing unit (GPGPU). A detailed analysis of the proposed procedure is presented considering different values of fractional derivative order in the fractional differential equations (FDEs). It is shown with extensive computational exercise that the proposed methodology achieves substantial speed up for all the three FDEs models used in nuclear reactor.