SOLVING PDE using MATLAB
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clc;clear all;close all;
L = 1;
x = linspace(0,L,75);
t = linspace(0,1,75);
m = 0;
sol = pdepe(m,@heatpde,@heatic,@heatbc,x,t);
sol1=sol;
figure(1)
surf(x,t,sol1);
xlabel('y/b');
zlabel('(T-T_0)/(T_1-T_0)');
title('Temperature Distribution in Finite Slab, Nu=1'); grid on;
function [c,f,s] = heatpde(x,t,u,dudx)
c = 1;
f = dudx;
s = 0;
end
function u0 = heatic(x)
u0 = 1;
end
function [pl,ql,pr,qr] = heatbc(xl,ul,xr,ur,t)
Nu = 1.0;
pl = 0;
ql = 1;
pr = Nu*ur;
qr = 1;
end
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/946014/image.jpeg)
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