B. A. Jacobs
University of the Witwatersrand
30 Papers
53 Citations
B. A. Jacobs is an academic researcher from University of the Witwatersrand. The author has contributed to research in topics: Computer science & Fractional calculus. The author has an hindex of 8, co-authored 21 publications. Previous affiliations of B. A. Jacobs include University of New South Wales & DST Systems.
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Papers
From stochastic processes to numerical methods
Christopher N. Angstmann,I. C. Donnelly,Bruce I. Henry,B. A. Jacobs,T. A. M. Langlands,James A. Nichols +5 more
TL;DR: A new explicit numerical method, based on a discrete stochastic process, is introduced for solving a class of fractional partial differential equations that model reaction subdiffusion, derived from the master equations for the evolution of the probability density of a sum of discrete time random walks.
35
A novel approach to text binarization via a diffusion-based model
B. A. Jacobs,Ebrahim Momoniat +1 more
TL;DR: This paper presents a new approach to document image binarization based on the dynamic process of diffusion, coupled with a nonlinear Fitzhugh-Nagumo type source term that exhibits binarizing properties that is robust to noise and able to successfully binarize an input document image.
29
A locally adaptive, diffusion based text binarization technique
B. A. Jacobs,Ebrahim Momoniat +1 more
TL;DR: An adaptive modification to a novel diffusion based text binarization technique that uses linear diffusion with a nonlinear source term to achieve a binarizing effect and shows remarkable results given the simplicity of the algorithm.
26
A time-fractional generalised advection equation from a stochastic process
TL;DR: In this article, a generalised generalized advection with a time fractional derivative is derived from a continuous time random walk on a one-dimensional lattice, with power law distributed waiting times.
25
Nonstandard Finite Difference Method Applied to a Linear Pharmacokinetics Model.
TL;DR: A nonstandard finite difference scheme is structure for the relevant system of equations which models this pharamcokinetic process and is dynamically consistent and reliable in replicating complex dynamic properties of the relevant continuous models for varying step sizes.
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