newtcot.m

various matlab programs to slove various problems

function int = newtcot(a,b,n,fun)
h=(b-a)/n; n2=fix(n/2); 
if n > 6, disp('maximum value of n equal to 6  '); return; end
a03=1/3; a08=1/8; a45=1/45; a288=1/288; a140=1/140;
alpha=[0.5     0        0        0; ...
       a03     4*a03    0        0; ...
       3*a08   9*a08    0        0; ...
       14*a45  64*a45   24*a45   0; ...
       95*a288 375*a288 250*a288 0; ...
       41*a140 216*a140 27*a140  272*a140];
x=a; y(1)=eval(fun); 
for j=2:n+1,    x=x+h; y(j)=eval(fun); end;    int=0; 
for j=1:n2+1,   int=int+y(j)*alpha(n,j);     end;
for j=n2+2:n+1, int=int+y(j)*alpha(n,n-j+2); end; int=int*h;