文章基本信息

标题：An Efficient Compact Difference Method for Temporal Fractional Subdiffusion Equations
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作者：Lei Ren ; Lei Liu
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2019
卷号：2019
页码：1-10
DOI：10.1155/2019/3263589
出版社：Hindawi Publishing Corporation
摘要：In this paper, a high-order compact finite difference method is proposed for a class of temporal fractional subdiffusion equation. A numerical scheme for the equation has been derived to obtain in time and fourth-order in space. We improve the results by constructing a compact scheme of second-order in time while keeping fourth-order in space. Based on the - approximation formula and a fourth-order compact finite difference approximation, the stability of the constructed scheme and its convergence of second-order in time and fourth-order in space are rigorously proved using a discrete energy analysis method. Applications using two model problems demonstrate the theoretical results.