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

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)