Select Publications
Preprints
, 2025, The Global Diffusion Limit for the Space Dependent Variable-Order Time-Fractional Diffusion Equation, http://arxiv.org/abs/2504.18787v2
, 2024, A compounded random walk for space-fractional diffusion on finite domains, http://arxiv.org/abs/2410.10077v2
, 2024, Delay Infectivity and Delay Recovery SIR model, http://arxiv.org/abs/2406.18107v2
, 2024, Delay compartment models from a stochastic process, http://arxiv.org/abs/2406.17242v1
, 2024, Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations, http://arxiv.org/abs/2406.08777v2
, 2024, Exact Solutions of Time-Delay Integer- and Fractional-Order Advection Equations, http://arxiv.org/abs/2406.00897v2
, 2023, A Stochastic Simulation Method for Fractional Order Compartment Models, http://arxiv.org/abs/2312.05268v2
, 2021, The Lawnmower: an autonomous, protein-based artificial molecular motor, http://dx.doi.org/10.1038/s41467-024-45570-y
, 2021, The Lawnmower: an autonomous, protein-based artificial molecular motor, http://dx.doi.org/10.48550/arxiv.2109.10293
, 2020, Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains, http://dx.doi.org/10.1103/PhysRevE.102.032111
, 2017, Subdiffusive discrete time random walks via Monte Carlo and subordination, http://dx.doi.org/10.1016/j.jcp.2018.06.044
, 2017, Generalised fractional diffusion equations for subdiffusion on arbitrarily growing domains, https://www.researchgate.net/publication/317821825_Generalised_fractional_diffusion_equations_for_subdiffusion_on_arbitrarily_growing_domains
, 2016, Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme, http://arxiv.org/abs/1610.05417v1
, 2016, Discretization of Fractional Differential Equations by a Piecewise Constant Approximation, http://arxiv.org/abs/1605.01815v1
, 2015, A Fractional-Order Infectivity SIR Model, http://dx.doi.org/10.1016/j.physa.2016.02.029
, 2015, Anomalous dynamic behaviour of optically trapped high aspect ratio nanowires, http://dx.doi.org/10.1103/PhysRevE.93.022137
, 2015, A fractional order recovery SIR model from a stochastic process, http://dx.doi.org/10.1007/s11538-016-0151-7
, 2015, Precision isotope shift measurements in Ca$^+$ using highly sensitive detection schemes, http://dx.doi.org/10.1103/PhysRevLett.115.053003
, 2012, Pattern Formation on Networks with Reactions: A Continuous Time Random Walk Approach, http://dx.doi.org/10.48550/arxiv.1211.6494
, 2012, Turing patterns from dynamics of early HIV infection over a two-dimensional surface, http://dx.doi.org/10.48550/arxiv.1209.2772
, 2012, An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas, http://dx.doi.org/10.48550/arxiv.1202.2904