%
%
% Script de test pour le probleme 2 
%
%
%
close all
n = 8; 
X = linspace(0,1,n+1);
U = exp(-2*X).*sin(10*pi*X);
dU = 10*pi*exp(-2*X).*cos(10*pi*X) -2 *U;

x = linspace(0,1,100);
u = exp(-2*x).*sin(10*pi*x);
uh = hermite(n,X,U,dU,x);

plot(x,u,'b-', x, uh, 'r-', X,U,'b.','Markersize',25);
title(['Interpolation Hermite : n= ' num2str(n) ' ' ],'Fontsize',15);
legend('Fonction u','Interpolation uh', 'U choisis' ,'Location','NorthEast');


end