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 Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95. by Geoffrey C. Fox
1 If we solve the diffusion equation (*) by finite difference in space (which is as for Laplace's equation) and time
2 Here "t" could be t,t+dt or an average such as:
3 t0 is Initial value which we can take as t=0
4 t1 = t0+ dt .....
5 tk+1=tk+dt
6 The iteration gives yk(x)=y(x,tk) in terms of y(k-1)(x)
in Table To:

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