A C0-conforming Galerkin finite element method combined with a Crank-Nicolson/Adams-Bashforth semi-implicit scheme is shown to be unconditionally stable for a three-species competition-diffusion PDE system and to reproduce droplet, banded, spiral, and glider patterns.
Murray, Mathematical Biology, Springer-Verlag, Berlin
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A finite element discretization with semi-implicit nonlinear multistep scheme for a two-dimensional competition-diffusion system of three competing species with different mobility rates
A C0-conforming Galerkin finite element method combined with a Crank-Nicolson/Adams-Bashforth semi-implicit scheme is shown to be unconditionally stable for a three-species competition-diffusion PDE system and to reproduce droplet, banded, spiral, and glider patterns.