|
ODEs Four,
reverse Reverses to find
initial values in ODE's. |
|
|
| t0,
tF, t* |
|
Times: from, to (integration)
and report. |
| Parameters |
|
Problem parameters (e.g., rates). |
| IV, initial F values |
(N values) |
Values at initial t (IVs). |
| Target F values |
(N values) |
Target function values at t*. |
| Integration method |
|
Method of integration. |
| Tolerances |
|
Relative and absolute tolerances for integration. |
| Minimization method |
|
Python 'optimization minimization' method. |
| y-axis |
(a: automatic) |
Axis min and max bounds. |
| Points |
|
N. of plot points |
| Show values |
|
Show graph coordinates. |
Integrates the ODEs to tF.
Reports the function values at t*.
Embedded ODE's as
in Figure,
with given initial values.
This applies, from Python:
for integration, 'scipy.integrate' solve_ivp; and,
for optimization, minimize.
Draws a plot of the integrated functions. |
 |
Computation structure: a PHP file
(this page: 'P.ode4.php') calls (via
'action=...') an intermediate PHP file ('Ode4.php'), which
(through $_POST) sends the problem data as command line arguments to
a Python script. This last does the computing, and makes
'system' call(s) to 'gnuplot', for the final (temporary) web page.
Keywords: ODEs four; reverse kinetics;
Python; gnuplot. |
|
References: |
Plate: reverseODEsFour |
• Python minimize [in Optimization and root finding (scipy.optimize)].
• Ignite
(search 'Example'), David O. Lignell (BYU).
• Gnuplot dashtype
• HTML Color Codes
• Python f-string
• (Python) unicode characters
• Python f-string: A Complete Guide
• CISTI'2027, 22.ª
Conferência Ibérica de Sistemas e Tecnologias de Informaçaão
(22.nd Iberian Conference on Information Systems and
Technologies), Portugal, June 2027 (to be announced).
• 1746-05-09: Monge, Gaspard
(†1818-07-28, 72 yrs.). |
