Title

A variable nonlinear splitting algorithm for reaction diffusion systems with self- and cross-diffusion

Authors

Matthew Beauregard, Stephen F. Austin State UniversityFollow
Joshua L. Padgett

Document Type

Article

Publication Date

1-18-2019

Abstract

Self- and cross-diffusion are important nonlinear spatial derivative terms that are included into biological models of predator-prey interactions. Self-diffusion models overcrowding effects, while cross-diffusion incorporates the response of one species in light of the concentration of another. In this paper, a novel nonlinear operator splitting method is presented that directly incorporates both self- and cross-diffusion into a computational efficient design. The numerical analysis guarantees the accuracy and demonstrates appropriate criteria for stability. Numerical experiments display its efficiency and accuracy

DOI

10.1002/num.22315

Comments

arXiv:1901.06049[math.NA]

arXiv:1901.06049v1 [math.NA] 18 Jan 20

Repository Citation

Beauregard, Matthew and Padgett, Joshua L., "A variable nonlinear splitting algorithm for reaction diffusion systems with self- and cross-diffusion" (2019). Faculty Publications. 7.
https://scholarworks.sfasu.edu/mathandstats_facultypubs/7