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Forming of consolidation matrix

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Hello

I'm trying to form a consolidation matrix to compute one-dimensional soil consolidation (settlement).

 

The matrix is formed by taking values from values from previous columns and rows of the matrix and

I don't get this to work.

 

In the matrix the horizontal axis ( j ) represents time steps and the vertical axis different depth nodes ( i ).

 

 

Each node point is a value of

, where the multiplier ct/z^2 is repleced by factor beta.

The values in the  first column are given u0

 

The first row should be only 0 -values

 

and the last row should be determined by function

 

Thank you for your help.


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