On the convergence of difference schemes for fractional differential equations with Robin boundary conditions

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• 作者：A. K. Bazzaev ; M. Kh. Shkhanukov-Lafishev
• 关键词：difference schemes ; maximum principle ; stability and convergence of difference schemes ; locally one ; dimensional difference scheme
• 刊名：Computational Mathematics and Mathematical Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：57
• 期：1
• 页码：133-144
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Computational Mathematics and Numerical Analysis;
• 出版者：Pleiades Publishing
• ISSN：1555-6662
• 卷排序：57

文摘

Locally one-dimensional difference schemes for partial differential equations with fractional order derivatives with respect to time and space in multidimensional domains are considered. Stability and convergence of locally one-dimensional schemes for this equation are proved.