A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

被引：0
|
作者：
Syed Tauseef Mohyud-Din
Tayyaba Akram
Muhammad Abbas
Ahmad Izani Ismail
Norhashidah H. M. Ali
机构：
[1] University of Islamabad (UoI),Center for Research (CFR)
[2] Riphah International University,Faculty of Engineering & Applied Sciences
[3] Universiti Sains Malaysia,School of Mathematical Sciences
[4] University of Sargodha,Department of Mathematics
来源：
Advances in Difference Equations | / 2018卷
关键词：
Time fractional advection–diffusion equation; Extended cubic B-spline basis functions; Collocation method; Stability; Convergence;
D O I：
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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.
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