A cubic trigonometric B-spline collocation approach for the fractional sub-diffusion equations

作者：

Highlights：

• An algorithm for fractional sub-diffusion model using cubic trigonometric B-spline approach is presented.

• The proposed scheme is unconditionally stable using von Neumann approach.

• Error norms confirm the accuracy and efficiency of presented scheme.

• The proposed method provides more accurate results as compare to cubic B-spline method.

摘要

•An algorithm for fractional sub-diffusion model using cubic trigonometric B-spline approach is presented.•The proposed scheme is unconditionally stable using von Neumann approach.•Error norms confirm the accuracy and efficiency of presented scheme.•The proposed method provides more accurate results as compare to cubic B-spline method.

论文关键词：Fractional sub-diffusion equation,Trigonometric basis functions,Cubic trigonometric B-splines method,Stability

论文评审过程：Received 24 October 2015, Revised 26 July 2016, Accepted 15 August 2016, Available online 3 September 2016, Version of Record 3 September 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.08.028