Basic HTML version of Foils prepared 8 November 1995

Foil 17 Solution of Artificial Time Equation as a Diffusion System Discretized in Space and Time

From CPS615 Module on Iterative PDE Solvers CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95. by Geoffrey C. Fox
If we solve the diffusion equation (*) by finite difference in space (which is as for Laplace's equation) and time
Here "t" could be t,t+dt or an average such as:
t0 is Initial value which we can take as t=0
t1 = t0+ dt .....
tk+1=tk+dt
The iteration gives yk(x)=y(x,tk) in terms of y(k-1)(x)

© on Tue Oct 28 1997