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47 lines (34 loc) · 948 Bytes
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Task8_func3.m
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47 lines (34 loc) · 948 Bytes
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function y = Task8_func3(u,lambda,time,k)
[m,n] = size(u);
u1 = u;
ux = zeros(m,n);
uy = ux;
g = zeros(m,n);
Gx1 = g;
Gx2 = g;
Gy1 = g;
Gy2 = g;
for t = 1:time
for i = 2:m -1
for j = 2:n -1
ux(i,j) = (u(i+1,j) - u(i-1,j))^2/4;
uy(i,j) = (u(i,j+1) - u(i,j-1))^2/4;
g(i,j) = 1/(1+((ux(i,j)+uy(i,j))/(lambda^2)));
end
end
for i = 2:m -2
for j = 2:n -2
Gx1(i,j) = (g(i,j)+g(i+1,j))/2;
Gx2(i,j) = (g(i,j)+g(i-1,j))/2;
Gy1(i,j) = (g(i,j)+g(i,j+1))/2;
Gy2(i,j) = (g(i,j)+g(i,j-1))/2;
end
end
for i = 2:m -2
for j = 2:n -2
u1(i,j) = u(i,j) +(k*(Gx1(i,j)*(u(i+1,j)-u(i,j))) - (Gx2(i,j)*(u(i,j)-u(i-1,j))) + (Gy1(i,j)*(u(i,j+1)-u(i,j)))-(Gy2(i,j)*(u(i,j)-u(i,j-1))));
end
end
u = u1;
end
y = u1;