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MathGroup Archive 2006

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Reaction-diffusion PDEs

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65660] Reaction-diffusion PDEs
  • From: Skirmantas <skirmantas.janusonis at yale.edu>
  • Date: Wed, 12 Apr 2006 06:00:11 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello,

I'd like to numerically solve the following reaction-diffusion system:

{D[u[x,t],t]==0.6u[x,t]-v[x,t]-u[x,t]^3+0.0002D[u[x,t],x,x], D[v[x,t],t]==1.5u[x,t]-2v[x,t]+0.01D[v[x,t],x,x], u[x,0]==Sin[2*Pi*x], v[x,0]==Sin[4*Pi*x]}, where 0<=x<=1, 0<=t<=30, assuming zero-flux boundary conditions (at x=0 and x=1). I can set up my own discretization and iteration with the For operator, but I suspect NDSolve may be able to to do it automatically. I'd appreciate any advice.

Skirmantas


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