How Does the Explicit Method Solve 1-D Heat Conduction Problems?

[Lucky mkhonza]

I have been given the following problem as assignment:
Find a numerical solution for the 1-D heat conduction (using the Explicit Method):

$$\left\{\begin{array}U_{xx} = U_{t},\\<br /> U(x,0) = \sin \pi x, \\<br /> U(0,t) = U(1,t) = 0$$

Use h = 1, k = 0.005125 and M = 200.

Can anyone help by giving me a hint of this problem.

Thank you in advance...

 

[H_man]

Is this any help? ... it seems to be roughly the same problem.

http://en.wikipedia.org/wiki/Finite_difference