119 citations · 248 across the 9 of their papers we have counts for
11 papers
Subdiffusive discrete time random walks via Monte Carlo and subordination
J. A. Nichols, B. I. Henry, C. N. Angstmann
A class of discrete time random walks has recently been introduced to provide a stochastic process based numerical scheme for solving fractional order partial differential equation…
A biofilm and organomineralisation model for the growth and limiting size of ooids
Murray T. Batchelor, Robert V. Burne, Bruce I. Henry +2
Ooids are typically spherical sediment grains characterised by concentric layers encapsulating a core. There is no universally accepted explanation for ooid genesis, though factors…
Generalised fractional diffusion equations for subdiffusion on arbitrarily growing domains
C. N. Angstmann, B. I. Henry, A. V. McGann
Many physical phenomena occur on domains that grow in time. When the timescales of the phenomena and domain growth are comparable, models must include the dynamics of the domain. A…
Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme
Christopher. N. Angstmann, Bruce I. Henry, Byron A. Jacobs +1
Explicit numerical finite difference schemes for partial differential equations are well known to be easy to implement but they are particularly problematic for solving equations w…
Discretization of Fractional Differential Equations by a Piecewise Constant Approximation
Christopher N Angstmann, Bruce I Henry, Anna V McGann
There has recently been considerable interest in using a nonstandard piecewise approximation to formulate fractional order differential equations as difference equations that descr…
A Fractional-Order Infectivity SIR Model
Christopher N Angstmann, Bruce I Henry, Anna V McGann
Fractional-order SIR models have become increasingly popular in the literature in recent years, however unlike the standard SIR model, they often lack a derivation from an underlyi…