A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method

被引：0
作者：
A. S. V. Ravi Kanth
Neetu Garg
机构：
[1] National Institute of Technology,Department of Mathematics
来源：
Computational and Applied Mathematics | 2020年 / 39卷
关键词：
Time-fractional reaction–diffusion equation; Caputo derivative; Exponential B-spline method; Stability; Convergence; 35R11; 65M12; 65M70; 65Y99;
D O I：
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摘要：
A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method is presented in this paper. The proposed scheme is a combination of Crank–Nicolson method for the Caputo time derivative and exponential B-spline method for space derivative. The unconditional stability and convergence of the proposed scheme are presented. Several numerical examples are presented to illustrate the feasibility and efficiency of the proposed scheme.
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