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

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

Abstract 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....

Full description

Bibliographic Details
Main Authors: Syed Tauseef Mohyud-Din, Tayyaba Akram, Muhammad Abbas, Ahmad Izani Ismail, Norhashidah H. M. Ali
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
Time fractional advection–diffusion equation
Extended cubic B-spline basis functions
Collocation method
Stability
Convergence
Online Access:http://link.springer.com/article/10.1186/s13662-018-1537-7
Description
Summary:Abstract 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.
ISSN:1687-1847

Similar Items