89 citations · 283 across the 17 of their papers we have counts for
4 papers · 1 filter
Efficient multistep methods for tempered fractional calculus: Algorithms and Simulations
Ling Guo, Fanhai Zeng, Ian Turner +2
In this work, we extend the fractional linear multistep methods in [C. Lubich, SIAM J. Math. Anal., 17 (1986), pp.704--719] to the tempered fractional integral and derivative opera…
A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media
Nathan G. March, Elliot J. Carr, Ian W. Turner
Direct numerical simulation of diffusion through heterogeneous media can be difficult due to the computational cost of resolving fine-scale heterogeneities. One method to overcome…
Computational modelling of cardiac ischaemia using a variable-order fractional Laplacian
Megan E. Farquhar, Timothy J. Moroney, Qianqian Yang +2
Heart failure is one of the most common causes of death in the western world. Many heart problems are linked to disturbances in cardiac electrical activity, such as wave re-entry c…
A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations
Fanhai Zeng, Ian Turner, Kevin Burrage +1
We propose a new class of semi-implicit methods for solving nonlinear fractional differential equations and study their stability. Several versions of our new schemes are proved to…