2-D conduction in a aluminum plate

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Layne Christensen
Layne Christensen 2020-2-17
回答： darova 2020-2-17
I have a large matrix from a 2-D heated plate with each point in the matrix giving a temperature. I want to use second order central finite difference method to numerically compute what the heat flux is at each point and then create a 2D contour plot. I am new to using finite difference method and how to take my equations and boundary conditions from paper and write the code in matlab to solve for the heat flux. Any help would be great.
Thanks

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darova
darova 2020-2-17
Your equation:
Can be re-written as (difference scheme):
You should express
while 1 % loop until tolerance
for i = 2:m-1 % loop rows matrix
for j = 2:n-1 % loop columns matrix
T(i,j) = long_expression
end
end
if tolerance < 0.1
break;
end
end
Found a mistake in your boundary conditions:
I also attached similar script for another scheme. Look

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