BIASED RANDOM WALKS, PARTIAL DIFFERENTIAL EQUATIONS AND UPDATE SCHEMES

• Published in: The ANZIAM journal Vol. 55; no. 2; pp. 93 - 108
• Main Authors: HYWOOD, JACK D., LANDMAN, KERRY A.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.10.2013
• Subjects: Biology; Communities; Density; Lattices; Mathematical analysis; Mathematical models; Partial differential equations; Random walk; Stochasticity; update schemes; 60G07; partial differential equations; asymmetric random walkers; Fokker–Planck

There is much interest within the mathematical biology and statistical physics community in converting stochastic agent-based models for random walkers into a partial differential equation description for the average agent density. Here a collection of noninteracting biased random walkers on a one-d...