how to fix "limits are too large error" while running a transformed black-Scholes equation into a heat equation using the explicit method ?....

Hi, I am trying to run an explicit heat equation . This is the prompt I am trying to solve:

 My code works for certain items of an array but not for others as i am getting a limits are too large error.

This is from the following transformation:

My code below is:

S0 = 10:10:100;
K = 50;
r = .05;
T = 2;
sigma = .2;
price = blsprice(S0,K,r,T,sigma)

amax = 10;
amin = -10;
M = [10 100 200 400 800];
N = [10 100 200 400 800];
for k = 1:5

      dx = (amax - amin)/(M(k)-1);

      dt = T/(N(k)-1);                         

      v = zeros(M(k), N(k));                       

      r= dt/dx^2;                          

      j = r/.5*sigma;

      x = linspace(amin,amax,M(k));
      v(:,1) = max(exp(.5*(j+1)*x) - exp(.5*(j-1)*x),0);               

         for n = 2:N(k)                      

           %2 lines below are initial and boundary conditions
             v(1,n) = v(1, 1);            
              v(N(k),n) = v(M(k),1);

             %line below is explicit method discretized
              v(2:M(k)-1,n) = (1-2*r)*v(2:M(k)-1,n-1)+r*v(1:M(k)-2,n-1)+r*v(3:M(k),n-1);

         end

         approx = v(2:M(k)-1,n)
  end
      error = abs(approx - price)  
     B= table(approx')
     G=table(price')

surf(v)

I wanted to see if anybody had done anything close to this or can help on what I have so far. I am trying to understand if the prompt is erroneous or if my boundary conditions are wrong. Thank you

[Bob Thompson]

Could you post the entire error message, including which line of your code triggers it, please?

Also, duplicate of https://www.mathworks.com/matlabcentral/answers/406030-how-to-fix-limits-are-too-large-on-heat-equation. Please remove one post.