W. McLean

activity

20112022

most citedA discrete Grönwall inequality with application to numerical schemes for subdiffusion problems

376 citations · 1.1k across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NA2019★ 15 cited

A semidiscrete finite element approximation of a time-fractional Fokker-Planck equation with nonsmooth initial data

Kim Ngan Le, William McLean, Kassem Mustapha

We present a new stability and convergence analysis for the spatial discretization of a time-fractional Fokker--Planck equation in a convex polyhedral domain, using continuous, pie…

math.AP2019★ 34 cited

Existence, uniqueness and regularity of the solution of the time-fractional Fokker-Planck equation with general forcing

Kim-Ngan Le, William McLean, Martin Stynes

A time-fractional Fokker-Planck initial-boundary value problem is considered, with differential operator $u_{t} - \nabla \cdot (\partial_{t}^{1 - α} κ_{α} \nabla u - F \partial_{t}^{1 - α} u)$ ,…

math.AP2019★ 43 cited

Regularity theory for time-fractional advection-diffusion-reaction equations

William McLean, Kassem Mustapha, Raed Ali +1

We investigate the behavior of the time derivatives of the solution to a linear time-fractional, advection-diffusion-reaction equation, allowing space- and time-dependent coefficie…