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Anyone can help me for the Code finite difference method (backward difference)?

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Eddy Iswardi
Eddy Iswardi on 7 Dec 2019
this is finite difference scheme and limit values ​​and initial conditions. I've try to make the code, but I think something wrong with my code (and my algoritm). Please help me
clc;
clear all;
deltax=8;
v=997.15;
y=1;
Uinf=1;
t=100;
for k = 1:t
f(1,k) = 0;
f(k,t) = 0;
end
for g=1:t
u(1,g) = 1;
u(g,t) =1;
u(g+1,t)=0;
end
for g=t:-1:1
w(g,t) = (u(g+1,t)-u(g,t))/deltax;
w(1,g) = (u(2,g)-u(1,g))/deltax;
end
for j=t:-1:2
for i=1:(t-1)
f(i+1,j)=f(i-1,j-1)-deltax*u(i-1,j-1);
u(i+1,j)=u(i-1,j-1)-deltax*w(i-1,j-1);
w(i+1,j)=(1-(v^(1/2)*(y+2*t))/(2*t^(3/2)))*w(i-1,j-1)+((v*deltax)/(2*Uinf))*u(i-1,j-1);
end
end
u
plot(u)

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