Euler's Method for the Exponential Function

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

For each value of , the sequence converges to . Also, if is the Euler method approximation to the solution of the differential equation , on the interval with , then (the red curve) converges to for each in the interval. The points generated by Euler's method are marked in green. Observe that for any , the error between the approximation and the real value increases with the value of .

Contributed by: Arnaud Crouzet (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.