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Leahy committed Dec 14, 2017
1 parent 66a5d7d commit 5ce8415
Showing 1 changed file with 11 additions and 7 deletions.
18 changes: 11 additions & 7 deletions SE_diff.m
Expand Up @@ -20,10 +20,10 @@ function [pw_se,w] = SE_diff(T,P,n)

% Left side of the equation
left_side = zeros(n+1,n+1);
for i = 1:n+1

for i = 1:(n+1)^2
left_side(i) = P * h^2*w_bar(i);
end
L = sum(sum(left_side));

% Compute dw_dx
dx = zeros(n+2,n+1);
Expand All @@ -37,7 +37,7 @@ function [pw_se,w] = SE_diff(T,P,n)
dw_dx(i,j) = (dx(i,j)+dx(i+1,j))/2;
end
end
disp(dw_dx)

% Compute dw_dy
dy = zeros(n+1,n+2);
for i = 2:n+2
Expand All @@ -50,10 +50,14 @@ disp(dw_dx)
dw_dy(i,j) = (dy(i,j)+dy(i,j+1))/2;
end
end
disp(dw_dy)
pw_se = zeros(n+1,n+1);

right_side = zeros(n+1,n+1);

for i = 1:(n+1)^2
pw_se(i) = (1000*10^3*0.3*10^-3*h^2)/(2*(1-0.31^2))*((dw_dx(i))^4/4+(dw_dy(i))^4/4+0.5*(dw_dx(i))^2+0.5*(dw_dy(i))^2);
right_side(i) = (0.25*(dw_dx(i))^4+0.25*(dw_dy(i))^4+0.5*(dw_dx(i)*dw_dy(i))^2);
end

R = sum(sum(right_side));
R = (1000*10^3*0.3*10^-3*h^2)/(2*(1-0.31^2))*R;

pw_se = R - L;
end

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