Time stepping

The Magneto Hydro-Dynamic equations describe how the physical variables change in time. Computer programs written to solve MHD equations use this fact. They calculate the change that will take place within the next short time interval, for instance a second, and add this change to the exiting values. This is the way that the solution is found for a later time.

The simple animation above shows how a wave moves on a string. Each of the images represent a timestep advancement from the previous solution. On the left boundary some one is imposing the sine wave perturbation with regular time intervals, while the right boundary is arbitrarily chosen and the wave just passes through this point and out of sight.

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