My Math Forum  

Go Back   My Math Forum > College Math Forum > Applied Math

Applied Math Applied Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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
juliousceasor is offline  
 
Reply

  My Math Forum > College Math Forum > Applied Math

Tags
diffusion, equation, evolution, time



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Implementing and analyzing Diffusion of Innovation by Python zFADwww7 Computer Science 0 December 19th, 2013 03:18 AM
Inhomogeneous diffusion equation on the half plane Lee Applied Math 0 December 8th, 2013 10:00 AM
Irregular LDPC Matrix using Density Evolution rajiv1 Linear Algebra 0 March 27th, 2013 04:14 AM
How do I go about solving this equation for time? mcovalt Calculus 0 May 21st, 2011 01:18 PM
drift-diffusion equation germanaries Applied Math 0 November 15th, 2007 01:53 PM





Copyright © 2017 My Math Forum. All rights reserved.