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
.
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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).
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