|
ODEs Two
reverse Reverses to find
initial values in ODE's. UNDER CONSTRUCTION |
|
|
| tF,
t* |
(tR := min(tf,
tR)) |
Times: final integration (from 0)
and report. |
| Initial F values |
|
Values at t = 0 (IVs). |
| Target F values |
|
Target function values at tR. |
| Parameters |
|
Problem parameters (such as rates). |
| Integration method |
|
Method of integration. |
| Computation mode |
|
Mode, and termination tolerance. |
| Minimization method |
|
Python 'optimization minimization' method. |
| Points |
|
N. of plot points (0, auto) |
| Show values |
|
Show graph coordinates. |
Integrates the ODEs from time 0 to
tF. Reports the function values
at t*.
The embedded ODE's are:
x' = -x + p x y,
y' = -y + q x², with given initial values.
This applies, from Python:
for integration, 'scipy.integrate' odeint; and,
for optimization, minimize.
Draws a plot of the integrated functions. |
 |
Computation structure: a PHP file
(this page: 'P.ode2.php') calls (via
'action=...') an intermediate PHP file ('Ode2.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 two; reverse kinetics;
Python; gnuplot. |
|
References: |
Plate: reverseODEsTwo |
• Python minimize [in Optimization and root finding (scipy.optimize)].
• Gnuplot dashtype
• HTML Color Codes
• Python f-string
• (Python) unicode characters
• CISTI'2027, 22.ª
Conferência Ibérica de Sistemas e Tecnologias de Informaçaão
(22.nd Iberian Conference on Information Systems and
Technologies), #... (Portugal), #25–28 June 2027.
• 1902-04-04: Hopf, Eberhard Frederich Ferdinand
(†1983-07-24, 81 yrs.). |
