Taik-cours1_AN3

A. Taik Cours AN3 LST-MI
%
c=input(’donner la valeur de c: ’);
%
e=input(’donner la valeur de e: ’);
%
dx=input(’entrer le pas de la discretisation: ’);
%
n=1/dx; N=n; d=zeros(N+1,n+1); t=zeros(N+1,n+1);
%
w=x.ˆ((1:n+1)’*(1:n+1)); v=x.ˆ((1:n+1)’*(1:n+1));
p=zeros(N+1,n+1); q=zeros(N+1,n+1); u=zeros(N+1,n+1);
delta=b*b-4*a*c; k=(b-sqrt(delta))/(2*a); g=simplify(k);
f=int(g,x); i=1; y=0:dx:1;
%
for j=1:n+1
d(i,j)=y(i,j);
w(i,j)=z-t(i,j);
v(i,j)=int(g,d(i,j),h);
q(i,j)=d(i,j)*(1-d(i,j));
p(i,j)=0;
r(i,j)=subs(a,x,d(i,j));
m(i,j)=subs(g,x,d(i,j));
u(i,j)=0;
end
%
j=1;
%
for i=2:N+1
u(i,j)=0;
q(i,j)=0;
u(i,n+1)=0;
q(i,n+1)=0;
end
%
for i=2:N+1
for j=2:n
M=w(i-1,j-1)-v(i-1,j-1);
T=w(i-1,j+1)+v(i-1,j+1);
[d(i,j),t(i,j)]=solve(M,T);
v(i,j)=int(g,d(i,j),h);
w(i,j)=z-t(i,j);
r(i,j)=subs(a,x,d(i,j));
Département de Mathématiques
FST-Mohammedia, (2008)
48