(48G 49G 50G) Runge-Kutta Diff Eqn solver
06-15-2021, 09:09 PM
Post: #17
 rcthacker Junior Member Posts: 9 Joined: Jun 2021
RE: 48G-50G Runge-Kutta Diff Eqn solver
HP Solve doesn't solve DEs numerically. Runge-Kutta integrates along the unknown function trajectory. HP Solve finds roots of expressions. Not the same. I was interested in Vfinal and Sfinal when
V' = 9.8 - 0.005 V^2 m/s^2 for T0 = V0 = 0.0 and Tfinal = 10
Analytically, the integral of dv / ((1 - (0.005 / 9.8 ) V^2), which I don't want to have to look up (like surveying before the HP-35: eight place tables of Sin and Tan, and a Monroe hand-crank calculator). Great that there is a handy calculator function to solve those pesky DEs.

But the utility of the RKF solver is hampered save for Werner's guess that a << program object>> could be substituted for an 'algebraic object/expression', which is undocumented. I really do not think the firmware writers gave this much thought.

Thanks for the link to the pdf of HP-48 Insights.
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 Messages In This Thread (48G 49G 50G) Runge-Kutta Diff Eqn solver - rcthacker - 06-03-2021, 10:14 PM RE: 48G-50G Runge-Kutta Diff Eqn solver - Werner - 06-04-2021, 11:05 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - rcthacker - 06-05-2021, 10:06 PM RE: 48G-50G Runge-Kutta Diff Eqn solver - BINUBALL - 06-06-2021, 08:32 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - Werner - 06-07-2021, 07:52 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - rcthacker - 06-07-2021, 03:13 PM RE: 48G-50G Runge-Kutta Diff Eqn solver - Werner - 06-07-2021, 07:26 PM RE: 48G-50G Runge-Kutta Diff Eqn solver - rcthacker - 06-08-2021, 01:53 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - Werner - 06-08-2021, 06:22 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - rcthacker - 06-09-2021, 01:54 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - Werner - 06-09-2021, 06:30 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - rcthacker - 06-11-2021, 11:23 PM RE: 48G-50G Runge-Kutta Diff Eqn solver - Werner - 06-14-2021, 06:42 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - rcthacker - 06-14-2021, 10:24 PM RE: 48G-50G Runge-Kutta Diff Eqn solver - Werner - 06-15-2021, 05:54 AM RE: 48G-50G Runge-Kutta Diff Eqn solver - Giuseppe Donnini - 06-15-2021, 12:50 PM RE: 48G-50G Runge-Kutta Diff Eqn solver - rcthacker - 06-15-2021 09:09 PM RE: (48G 49G 50G) Runge-Kutta Diff Eqn solver - Giuseppe Donnini - 06-19-2021, 02:24 AM RE: (48G 49G 50G) Runge-Kutta Diff Eqn solver - jeejohn - 07-16-2021, 08:05 PM

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