Problem 59671. Write a code to implement Euler's method to integrate a simple function
Euler's method approximates the solution to a differential equation as
where . The challenge is to write a code that can take some arbitrary function, f(t,x), and use Euler's method to integrate over N equally-spaced points ( equal intervals) between times and . You must implement the boundary condition .
Solution Stats
Problem Comments
-
5 Comments
Show
2 older comments
ChrisR
on 3 Mar 2024
If there are N points, isn't the time interval (tf-t0)/(N-1)?
Christian Schröder
on 3 Mar 2024
Well-spotted.
Ryan
on 5 Mar 2024
Good catch! Fixed. Thanks for your comment!
Christian Schröder
on 6 Mar 2024
Are you sure you fixed it on this problem as well and not just on 59676?
minnolina
on 30 Mar 2024
To ensure correctness, it's better to define h as t(2)-t(1) (it's not yet corrected).
Solution Comments
Show commentsProblem Recent Solvers11
Suggested Problems
-
Which values occur exactly three times?
5100 Solvers
-
265 Solvers
-
Back to basics 8 - Matrix Diagonals
925 Solvers
-
Find the area of a rectangle if length of the diagonal is given.
165 Solvers
-
1084 Solvers
More from this Author3
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!