Euler Method
A basic first-order numerical procedure for solving ordinary differential equations with a given initial value.
Governing formula
y_(n+1) = y_n + h f(t_n, y_n)
SI unit
First-Order Numerical ODE Integration
In depth
Extrapolates the solution along local tangent slope f(t_n, y_n) over step size h. Simple to implement, but possesses low local accuracy O(h²) and poor numerical stability for stiff differential equations.
Examples in the real world
Basic introductory numerical simulations of falling bodies with air resistance.