34 citations · 56 across the 15 of their papers we have counts for
5 papers · 1 filter
First-Passage Times for the Space-Fractional Spectral Fokker-Planck Equation
Christopher N. Angstmann, Daniel S. Han, Bruce I. Henry +1
We extend the random walk framework to include compounded steps, providing first-passage time (FPT) properties for a new class of superdiffusive processes, which are governed by th…
A compounded random walk for space-fractional diffusion on finite domains
Christopher N. Angstmann, Daniel S. Han, Bruce I. Henry +2
We formulate a compounded random walk that is physically well defined on both finite and infinite domains, and samples space-dependent forces throughout jumps. The governing evolut…
A Stochastic Simulation Method for Fractional Order Compartment Models
Christopher N. Angstmann, Stuart-James M. Burney, Bruce I. Henry +3
Our study focuses on fractional order compartment models derived from underlying physical stochastic processes, providing a more physically grounded approach compared to models tha…
Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains
E. Abad, C. N. Angstmann, B. I. Henry +3
Reaction-diffusion equations are widely used as the governing evolution equations for modeling many physical, chemical, and biological processes. Here we derive reaction-diffusion…
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…