Solve two species coupled linear reaction-functional diffusion
1 visualizzazione (ultimi 30 giorni)
Mostra commenti meno recenti
Hi everyone,
I am looking to solve some coupled pdes with neumann zero-flux bc and random ic. Ideally I would like to have a 2d or 3d solution but 1d will suffice for now. The two species involve a functional diffusion model which considers the difference in diffusion between the two species. This difference is then considered by a sigmoidal function to define positive or negative flow. There is also exponential decay of each of the species.
du/dt = - a1*u + 1/(1+exp(a2*d2u/dx2-a3*d2v/dx2)) - 1/2
dv/dt = - a4*v + 1/(1+exp(a5*d2u/dx2-a6*d2v/dx2)) - 1/2
Does anyone know of any off the shelf tools in matlab that can do this? I have the code running in mathematica but it is painfully slow.
Thanks for your help in advance :)
0 Commenti
Risposte (1)
Zhang lu
il 5 Mag 2013
Modificato: Zhang lu
il 5 Mag 2013
you can convert the pde function as follow
d2u/dx2=[a5*ln(1/(du/dt+a1*u+1/2)-1)-a2*ln(1/(dv/dt+a1*u+1/2)-1)]/(a2*a6-a3*a5)
d2v/dx2=[a6*ln(1/(du/dt+a1*u+1/2)-1)-a3*ln(1/(dv/dt+a1*u+1/2)-1)]/(a2*a6-a3*a5)
Then, i think you can solve it .
3 Commenti
Vedere anche
Categorie
Scopri di più su Eigenvalue Problems in Help Center e File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!