Improved Euler's method
14 views (last 30 days)
Show older comments
Hello! I am working on a code I tried to run last year for Euler's improved method, which uses the height of a trapezoid to find a definite integral value. My code is written below.
the first line of my code is exactly what we went over in class, so I know that part is correct; do you have any suggestions or see anything wrong with my code? Many thanks!
function y = ieuler(f,y0,t0,tn,N)
h = (tn-t0)/N;
t = t0:h:tn;
y = zeros(length(y0), N+1);
y(:,1) = y0;
for k = 1:N
e = y(:,k) + h*f(t(k), y(:,k)) ;
y(:,k+1) = y(:,k) + .5*h*(f(t(k), y(:,k))+ f(t(k+1),e));
end
2 Comments
James Tursa
on 2 Mar 2021
Are you getting errors or an answer you didn't expect? What behavior are you seeing that prompted you to ask a question?
Answers (0)
See Also
Categories
Find more on Linear Algebra in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!