Calculus and change
Euler's method
A first-order numerical method that advances an approximate differential-equation solution using the current slope.
Common notation yₙ₊₁=yₙ+h f(tₙ,yₙ)
In one sentence
What does Euler's method mean?
A first-order numerical method that advances an approximate differential-equation solution using the current slope.
How it is written
yₙ₊₁=yₙ+h f(tₙ,yₙ)
A compact example
Starting at y=1 with slope 2 and step 0.1 gives next value 1.2.
Other names and search terms
forward Euler.
Clear answers
Questions about Euler's method
What does Euler's method mean in mathematics?
A first-order numerical method that advances an approximate differential-equation solution using the current slope.
How is Euler's method written?
A common notation is yₙ₊₁=yₙ+h f(tₙ,yₙ).
What is an example of Euler's method?
Starting at y=1 with slope 2 and step 0.1 gives next value 1.2.