Problem 59671. Write a code to implement Euler's method to integrate a simple function

Created by Ryan

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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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Last Solution submitted on Dec 12, 2024

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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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Problem 59671. Write a code to implement Euler's method to integrate a simple function

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Problem 59671. Write a code to implement Euler's method to integrate a simple function

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Last 200 Solutions

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Problem Recent Solvers12

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