My Math Forum Time evolution of a diffusion equation

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 March 14th, 2011, 08:10 AM #1 Newbie   Joined: Mar 2011 Posts: 1 Thanks: 0 Time evolution of a diffusion equation Hallo everyone, I have a 1-D diffusion equation with decay as dA/dt = d2A/dx2-L*A with initial condition A(x,t=0)=A0= K*exp(-ax), K= constant, and boundary condition= -DdA/dx = b(constant) (t > 0) where L= decay constant A = certain concentration D = diffusion coefficient One can solve the above equation for equilibrium putting dA/dt=0. The equilibrium concentration can be reached in time t. How can I determine the time that it takes to reach equilibrium concentration? Thank you help would be greatly appriciated

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