Let's define a set of 6 nodes (i.e., in our formulas).

t = [0 0.075 0.25 0.55 0.7 1]';

We plot the hat functions .

for k = 0:5

fplot(@(x) hatfun(x,t,k),[0 1])

hold on

end

xlabel('x'), ylabel('H_k(x)'), title('Hat functions')