Premium
A novel simulation methodology of fractional order nuclear science model
Author(s) -
Akgül Ali,
Khan Yasir
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4437
Subject(s) - fractional calculus , mathematics , order (exchange) , process (computing) , simple (philosophy) , differential calculus , scheme (mathematics) , nuclear science , calculus (dental) , computer science , mathematical analysis , nuclear engineering , medicine , philosophy , dentistry , finance , epistemology , economics , operating system , engineering
In this paper, a novel simulation methodology based on the reproducing kernels is proposed for solving the fractional order integro‐differential transport model for a nuclear reactor. The analysis carried out in this paper thus forms a crucial step in the process of development of fractional calculus as well as nuclear science models. The fractional derivative is described in the Captuo Riemann–Liouville sense. Results are presented graphically and in tabulated forms to study the efficiency and accuracy of method. The present scheme is very simple, effective, and appropriate for obtaining numerical simulation of nuclear science models. Copyright © 2017 John Wiley & Sons, Ltd.