How to plot numerical solution of differential equations? - Programmers Heaven

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# How to plot numerical solution of differential equations?

Posts: 2Member
My problem is how to plot the exact and the approximated solutions?
This is the Matlab M-file for solving differential equations with Euler's Method.

a=0;
b=1;
y0=-1;
N=10;
fprintf('
')
disp(' Euler Method ')
disp('__________________________________')
disp('ti f(ti,yi) yi exact error')
disp('__________________________________')
fprintf('
')
h=(b-a)/N;
y=y0;
fprintf('%4.2f ----------- %12.6f %12.6f %4.2f
',a,y,y,0)
for i=1:N
t=a+(i-1)*h;
m=f(t,y);
y=y+h*m;
t=t+h;
g=exp(-t)+2*t-2; (exact solution)
if (g~='N')
err=abs(g-y);
fprintf('%4.2f %12.6f %12.6f %12.6f %8.2e
',t,m,y,g,err)
else
fprintf('%4.2f %12.6f %12.6f
',t,m,y)
end