You are using a browser not supported by the Wolfram Cloud
Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.
I understand and wish to continue anyway »
WOLFRAM NOTEBOOK
Leaking Bucket Equation and Reversibility
Leaking Bucket Equation and Reversibility
How do reversible integrators work for nonreversible differential equations, such as the leaking bucket equation? This is investigated here for the asynchronous leapfrog integrator, a presumably novel variant of the well-known leapfrog method. For comparison, one can also choose the second-order nonreversible Runge–Kutta method, which is also known as Heun's method.
Both integrators empty the bucket only approximately, even in the long run. So the behavior of the reversed trajectories does not contradict the fact that any one-step method has a flat-line solution, given an autonomous rate function that is initially vanishing.