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 
.
. 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
Solution Comments
Show comments
Loading...
Problem Recent Solvers21
Suggested Problems
-
Vectorizing, too easy or too hard?
147 Solvers
-
112 Solvers
-
Create an index-powered vector
955 Solvers
-
215 Solvers
-
Test Problem; Create a 5x5 array containing all ones
405 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!
If there are N points, isn't the time interval (tf-t0)/(N-1)?
Well-spotted.
Good catch! Fixed. Thanks for your comment!
Are you sure you fixed it on this problem as well and not just on 59676?
To ensure correctness, it's better to define h as t(2)-t(1) (it's not yet corrected).