Nonstandard finite difference schemes for numerical solution of the fractional neutron point kinetics equations

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• 作者：Yasser Mohamed Hamada ; M.G. Brikaa ; ^{gaber.brikaa@yahoo.com}
• 关键词：Non-standard finite difference method ; Stability ; Fractional point kinetics equations ; Relaxation time effect ; Grunwald-Letnikov derivatives
• 刊名：Annals of Nuclear Energy
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：102
• 期：Complete
• 页码：359-367
• 全文大小：695 K
• 卷排序：102

文摘

Non standard finite difference scheme is proposed. The method is applied to solve fractional point kinetics equations. Comparisons are made with the classical solutions. Comparisons are made for different values of the anomalous order α. Stability conditions are investigated to control the step size.