Select Publications
Preprints
2024, A physical random walk for space-fractional diffusion on finite domains, http://arxiv.org/abs/2410.10077v1
,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
,2020, Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains, http://dx.doi.org/10.48550/arxiv.2002.06011
,2017, Subdiffusive discrete time random walks via Monte Carlo and subordination, http://dx.doi.org/10.48550/arxiv.1711.06197
,2017, Generalised fractional diffusion equations for subdiffusion on arbitrarily growing domains, http://dx.doi.org/10.48550/arxiv.1706.07168
,2016, Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme, http://dx.doi.org/10.48550/arxiv.1610.05417
,2016, Discretization of Fractional Differential Equations by a Piecewise Constant Approximation, http://dx.doi.org/10.48550/arxiv.1605.01815
,2015, A Fractional-Order Infectivity SIR Model, http://dx.doi.org/10.48550/arxiv.1511.02545
,2015, Anomalous dynamic behaviour of optically trapped high aspect ratio nanowires, http://dx.doi.org/10.48550/arxiv.1508.03072
,2015, A fractional order recovery SIR model from a stochastic process, http://dx.doi.org/10.48550/arxiv.1505.02492
,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
,2003, Random walks on finite lattice tubes, http://dx.doi.org/10.48550/arxiv.math-ph/0305023
,2002, Exact solution for random walks on the triangular lattice with absorbing boundaries, http://dx.doi.org/10.48550/arxiv.math-ph/0204003
,1998, Continuum model for radial interface growth, http://dx.doi.org/10.48550/arxiv.cond-mat/9806055
,1998, Surface width scaling in noise reduced Eden clusters, http://dx.doi.org/10.48550/arxiv.cond-mat/9804238
,1998, Mean field analysis of Williams-Bjerknes type growth, http://dx.doi.org/10.48550/arxiv.cond-mat/9803315
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