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Byron Jacobs
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From stochastic processes to numerical methods: A new scheme for solving reaction subdiffusion fractional partial differential equations
CN Angstmann, IC Donnelly, BI Henry, BA Jacobs, TAM Langlands, ...
Journal of Computational Physics 307, 508-534, 2016
312016
A novel approach to text binarization via a diffusion-based model
BA Jacobs, E Momoniat
Applied Mathematics and Computation 225, 446-460, 2013
252013
High‐order compact finite difference and laplace transform method for the solution of time‐fractional heat equations with dirchlet and neumann boundary conditions
BA Jacobs
Numerical Methods for Partial Differential Equations 32 (4), 1184 - 1199, 2016
242016
A locally adaptive, diffusion based text binarization technique
BA Jacobs, E Momoniat
Applied Mathematics and Computation 269, 464-472, 2015
212015
A New Grunwald-Letnikov Derivative Derived From a Second-Order Scheme
BA Jacobs
Abstract and Applied Analysis 2015, 2015
202015
A time-fractional generalised advection equation from a stochastic process
CN Angstmann, BI Henry, BA Jacobs, AV McGann
Chaos, Solitons & Fractals 102, 175-183, 2017
192017
Nonstandard finite difference method applied to a linear pharmacokinetics model
O Egbelowo, C Harley, B Jacobs
Bioengineering 4 (2), 40, 2017
192017
Intrinsic discontinuities in solutions of evolution equations involving fractional Caputo–Fabrizio and Atangana–Baleanu operators
CN Angstmann, BA Jacobs, BI Henry, Z Xu
Mathematics 8 (11), 2023, 2020
182020
Two hybrid methods for solving two-dimensional linear time-fractional partial differential equations
BA Jacobs, C Harley
Abstract and Applied Analysis 2014, 2014
142014
An explicit numerical scheme for solving fractional order compartment models from the master equations of a stochastic process
CN Angstmann, BI Henry, BA Jacobs, AV McGann
Communications in Nonlinear Science and Numerical Simulation 68, 188-202, 2019
132019
Discretization of fractional differential equations by a piecewise constant approximation
CN Angstmann, BI Henry, BA Jacobs, AV McGann
Mathematical Modelling of Natural Phenomena 12 (6), 23-36, 2017
132017
Application of nonlinear time-fractional partial differential equations to image processing via hybrid laplace transform method
BA Jacobs, C Harley
Journal of Mathematics 2018, 1-9, 2018
122018
Numeric solution of advection–diffusion equations by a discrete time random walk scheme
CN Angstmann, BI Henry, BA Jacobs, AV McGann
Numerical Methods for Partial Differential Equations, 1– 25., 2019
102019
Enhanced Unconditionally Positive Finite Difference Method for Advection–Diffusion–Reaction Equations
N Ndou, P Dlamini, BA Jacobs
Mathematics 10 (15), 2639, 2022
92022
Unsupervised document image binarization using a system of nonlinear partial differential equations
BA Jacobs, T Celik
Applied Mathematics and Computation 418, 126806, 2022
72022
A comparison of two hybrid methods for applying the time-fractional heat equation to a two dimensional function
BA Jacobs, C Harley
AIP Conference Proceedings 1558 (1), 2119-2122, 2013
62013
Optimising the vehicle routing problem with time windows under standardised metrics
K Prag, M Woolway, BA Jacobs
2019 6th International Conference on Soft Computing & Machine Intelligence …, 2019
52019
On the validation of a fractional order model for pharmacokinetics using clinical data
S Mtshali, BA Jacobs
Fractal and fractional 7 (1), 84, 2023
42023
Integrablization of time fractional PDEs
CN Angstmann, BI Henry, BA Jacobs, AV McGann
Computers & Mathematics with Applications 73 (6), 1053-1062, 2017
32017
A Comparative Analysis of Physiologically Based Pharmacokinetic Models for Human Immunodeficiency Virus and Tuberculosis Infections
S Mtshali, BA Jacobs
Antimicrobial Agents and Chemotherapy 66 (9), e00274-22, 2022
12022
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