How to apply an equation to each element in the array?
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I have an equation:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/815119/image.jpeg)
Which I need to apply to every element in a 10x10 matrix of u.
u - a node in numerical model of rock layer
j,n - indexes of movement
The matrix is supposed to have identical starting values of 80.
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Image Analyst
il 28 Nov 2021
Try conv2():
k = 10^-7 % filtration of soil
M = 19000
q = 80 % external force Q acting on soil
DeltaZ = 0.1 % depth of soil subsidization
GammaW = 10 % water weight [Kn/m^3]
Cv = k*M/GammaW % consolidation factor
DeltaT = DeltaZ^2/(2*Cv) % max iteration step
alpha = Cv*DeltaT/DeltaZ^2
% NUMERICAL PARAMETERS
u = q*ones(10:10) % matrix of u nodes
% SOLUTION
kernel = [0, 1, 0] + alpha * [1, -2, 1]
% Discrete form of the governing equation:
soilSub = conv2(u, kernel) % Use conv2(), not conv()
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Image Analyst
il 28 Nov 2021
No problem. I'm sure using conv() instead of conv2() was just an oversight by Matt. I know he knows better - he's a bright guy. You can vote for multiple answers though you can only Accept one. You can even vote for one you Accepted to award double the reputation points to that one.
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