Help with plotting the figure
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I've developed the matlab code for the attached problem (Explicit method). It'll be helpful if someone check my code and correct me if I'm wrong. Also I need help for plotting the figure using contour map in two dimensions. And Finally how to add the stability requirement in the code? Matlab Code:
clc clear close all format long g
%step sizes delx=0.5; X=50; %delta x dely=0.5; Y=20; %delta y delt=1/20; T=20; %delta t Dx=1.0; Dy=0.2; %diffusivity coeff. rx=Dx*delt/delx^2; ry=Dy*delt/dely^2; n=X/delx; m=Y/dely; s=T/delt;
%Initial values C=zeros(n+1,m+1,s+1); %Dimention of the answer matrix
for i=(n/2+1-1/(2*delx)):(n/2+1+1/(2*delx)) for j=(m/2+1-1/(2*dely)):(m/2+1+1/(2*dely)) C(i,j,1)=1000; %initial concentration of the contaminant. end end
%Calculating each row Analytically
for k=1:s for j=2:m for i=2:n C(i,j,k+1)=(1-2*rx-2*ry)*C(i,j,k)+rx*C(i+1,j,k)+rx*C(i-1,j,k)+... ry*C(i,j+1,k)+ry*C(i,j-1,k); end end end
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