文章基本信息

标题：A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation
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作者：Syed Tauseef Mohyud-Din ; Tayyaba Akram ; Muhammad Abbas 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：109
DOI：10.1186/s13662-018-1537-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate a fully implicit finite difference scheme for solving the time fractional advection–diffusion equation. The time fractional derivative is estimated using Caputo’s formulation, and the spatial derivatives are discretized using extended cubic B-spline functions. The convergence and stability of the fully implicit scheme are analyzed. Numerical experiments conducted indicate that the scheme is feasible and accurate.
关键词：Time fractional advection–diffusion equation ; Extended cubic B-spline basis functions ; Collocation method ; Stability ; Convergence