Higher mathematics

Numerical methods

Euler, Heun, Runge–Kutta and Newton iteration steps.

Higher mathematics

Single Euler method step

y₁ = y₀ + hf(x₀,y₀)→
Higher mathematics

Single Heun method step

y₁ = y₀ + h(k₁+k₂)/2→
Higher mathematics

Single fourth-order Runge–Kutta step

y₁ = y₀ + h(k₁+2k₂+2k₃+k₄)/6→
Higher mathematics

Single Newton method step

x₁ = x₀ − f(x₀)/f′(x₀)→