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Product features · Runge–Kutta decay steps
01
Review the four slope estimates in DecayMarsh and distinguish the numerical result from the analytic decay value.
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Runge–Kutta decay steps
● ● ●DecayMarsh●
A concrete starting point · Runge–Kutta decay steps ×
def decay_steps(initial, rate, dt, steps):
if any(type(v) not in (int, float) for v in (initial, rate, dt)):
raise ValueError("decay.numeric")
if not -10**6 <= initial <= 10**6 or not 0 <= rate <= 1000 or not 0 <= dt <= 1 or rate * dt > 1:
raise ValueError("decay.range")
if type(steps) is not int or not 0 <= steps <= 1000:
raise ValueError("decay.steps")
y = float(initial)
for _ in range(steps):
k1 = -rate * y
k2 = -rate * (y + dt*k1/2)
k3 = -rate * (y + dt*k2/2)
k4 = -rate * (y + dt*k3)
y += dt*(k1 + 2*k2 + 2*k3 + k4)/6
return y✳Integrate scalar exponential decay with up to 1000 classical Runge–Kutta steps using finite bounded inputs.
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