Matlab code for numerical inversion of Laplace concentration and plot curve : concentration versus Time, Space and both

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I obtained a concentration on a solute in 1D transport using the Laplace transform with respect to Time. I would like to numerically invert the concentration toi the time domain ans plot concentration versus Time, position and both. Please i need a MATLAB code for this.

[William Rose]

@Thomas TJOCK-MBAGA,

This look slike a homework problem. Please show an attempt: some Matlab code. Then tell us what error message you get, or why you think your code doesn't give the right answer.

If x=0, the exression simplifies:

I would start with that simpler case, which still looks complicated to me.

[Thomas TJOCK-MBAGA]

I have the following code but it work only for time dependant function. I would like to modify it toi take into account the space variable