How to write FDM matlab code for nonlocal source of the form u(1-integral u) in two dimension ?

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How to write FDM matlab code for nonlocal source of the form ?

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Torsten
Torsten 2022-5-24
Hint:
A possible approximation for the integral over a rectangle [x(i),x(i)+dx] x [y(j),y(j)+dy] is
dx*dy*(u(i,j)+u(i,j+1)+u(i+1,j)+u(i+1,j+1))/4
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