EULER-Forward-Method

freak

I am a stupid student looking out for help. The task is: Draw up a computerprogram in a programming language of your choice (delphi, fortran,...) by which you will be able to analyse the mistakes and stability of an wearing off process. Given is the equation: du/dt=d2u/du2 (2 means square) Please use for the discretization the explicit Euler-Forward-method. The distribution of the beginning looks like a sine oscillation. The abscissa is standardized: x0=0 x1=1 The locas increment is dx=0,002. By using the following increments in time examine the stability of calculation. increment in time dt : dt/(dx)^2 ---------------------------------------- 0,000002 : 0,5 2,0004E-6 : 0,5001 2,004E-6 : 0,501 2,04E-6 : 0,51 1,96E-6 : 0,49 1,8E-6 : 0,45 1,6E-6 : 0,4 0,8E-6 : 0,2 0,4E-6 : 0,1

Give a statement about the precision resp. the number of itterations to reach a mistake less than 0,000001.

Depict (graphical) the trend of the mistake in dependence on the number of itterations in a loarithmic coordinate system for the cases listed in the table ahead specialy for x=1/4.

Depict the results of the calculation.

Please help me with this problem.

It would be nice if anyone is able to send me a program source code for the Euler-Forward-method. Or please tell me an good webpage where I can find somthing to solve my problem.

Thanx!!!