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How to put Recurrence Equation in a loop, moving through a matrix

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I try to put an equation which calculates soil subsidization in a loop, and something is not right.
The scheme from our teacher is:
The discrete form of the governing equation is:
In code it looks like this:
How to make it moving continously through a 10x10 matrix of u, with indexes of j and n indicating the movement?

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R2020b

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