A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation

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• 作者：Hongbin Chen ; ^a ; ^{hongbinchen@csuft.edu.cn} ; ^{chb8080@eyou.com} ; Da Xu^b ; ^{daxu@hunnu.edu.cn} ; Yulong Peng^a ; ^{gsf20158@163.com}
• 关键词：Fractional evolution equation ; Second order BDF ; ADI difference scheme ; Convolution quadrature ; Stability ; Convergence ; Numerical experiments
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：41
• 期：Complete
• 页码：54-67
• 全文大小：1020 K
• 卷排序：41

文摘

The second order BDF ADI difference scheme applied to the present equation is new. An ADI scheme based on second order convolution quadrature applied to the present equation is new. The numerical experiments are given under homogeneous and inhomogeneous Dirichlet boundary conditions.