Problem 59676. Write a code to implement the improved Euler's method to integrate a simple function

• Created by Ryan

×

Like (0)

Difficulty:

(8)

Rate

• Solve Later   
• Add To GroupÂ

Euler's method approximates the solution to a differential equation as

where . It's possible to improve on Euler's method by doing the following:

The challenge is to write a code that can take some arbitrary function, f(t,x), and use Euler's improved method to integrate over N equally-spaced points ( equal intervals) between times and . You must implement the boundary condition .

Solve

Solution Stats

73.33% Correct | 26.67% Incorrect

• 15 Solutions
• 9 Solvers

Last Solution submitted on May 10, 2025

Last 200 Solutions

Solution Comments

Problem Recent Solvers9

Suggested Problems

• De-dupe

  3515 Solvers

• Check if sorted

  4432 Solvers

• Nearest

  170 Solvers

• Switch matrix to a column vector

  361 Solvers

• Calculate the Number of Sign Changes in a Row Vector (No Element Is Zero)

  801 Solvers

More from this Author3

• Orthogonalize 3 column vectors using the Gram-Schmidt process

  13 Solvers

• Orthogonalize a 2x2 matrix using the Gram-Schmidt process

  11 Solvers

• Write a code to implement Euler's method to integrate a simple function

  15 Solvers