文章基本信息

标题：Extended cubic B-splines in the numerical solution of time fractional telegraph equation
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作者：Tayyaba Akram ; Muhammad Abbas ; Ahmad Izani Ismail 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：2019
卷号：2019
期号：1
页码：1-20
DOI：10.1186/s13662-019-2296-9
出版社：Hindawi Publishing Corporation
摘要：A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed. The Caputo fractional formula is used in the discretization of the time fractional derivative. A combination of the Caputo fractional derivative together with an extended cubic B-spline is utilized to obtain the computed solutions. The proposed scheme is shown to possess the unconditional stability property with second order convergence. Numerical results demonstrate the applicability, simplicity and the strength of the scheme in solving the time fractional telegraph equation with accuracies very close to the exact solutions.
关键词：Time fractional telegraph equation;Extended cubic B-spline basis functions;Collocation method;Caputo’s fractional derivative;Stability analysis;Convergence