(48G 49G 50G) Runge-Kutta Diff Eqn solver
06-03-2021, 10:14 PM (This post was last modified: 06-18-2021 08:40 PM by Gene.)
Post: #1
 rcthacker Junior Member Posts: 9 Joined: Jun 2021
(48G 49G 50G) Runge-Kutta Diff Eqn solver
I would like to use the Runge-Kutta-Fehlberg function/solver for second order nonlinear DE's. It works fine for first order NL equations, and for second order linear equations. However, I can't figure out how to use the matrix (function) - vector (solution) multiplication to include nonlinear dependent variables. For example, y' = v, and y'' = g - k X v^2. (the skydiver problem from calculus). BTW, the 50G User Guide discusses first order linear equations, but solves a first order nonlinear equation (SQRT(V)).

Any recommendations for further reading on the use of this powerful function?
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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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