Time-Step Constraints for Reaction-Diffusion ProblemsFortunato, Daniel F.
Reaction-diffusion equations naturally arise in many biological, physical, chemical, and ecological contexts. Fisher's equation is the simplest reaction-diffusion equation. It models a population growing logistically while diffusing in space and admits traveling wave solutions. We consider finite difference schemes for Fisher's equation, which depend on the size of the time step used. We can discr... read more