Euler’s Method (AQA A-Level Further Maths): Flashcards

Numerical technique for approximating differential equations

$y_{r+1} = y_r + hf(x_r, y_r)$

$h$

More accurate results

Gradient function evaluated at point $(x_r, y_r)$

y_{r+1} = y_r + rac{1}{2}(k_1 + k_2)

$k_1 = hf(x_r, y_r)$

$k_2 = hf(x_r + h, y_r + k_1)$

$y_{r+1} = y_{r-1} + 2hf(x_r, y_r)$

rac{ ext{approx} - ext{exact}}{ ext{exact}}