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ODEs 3, isomers, reverse
Reverses to find initial values in ODE's. |
|
|
| t0
(<) t* (<) tF |
|
Times: from, to (integration)
and report. |
| IV, initial F values |
(N values) |
Values at initial t (IVs). |
| Rates |
|
Rates (om mo, mp pm, op po). |
| Target F values |
(N values) |
Target function values at t*. |
| Integration method |
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Method of integration. |
| Tolerances |
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Relative and absolute tolerances for integration. |
| Minimization method |
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Python 'optimization minimization' method. |
| y-axis |
(a: automatic) |
Axis min and max bounds. |
| Show values |
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Show graph coordinates. |
Integrates the ODEs
to tF, and reports the function values
at t*.
Embedded ODE's are as
in Figure.
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.ode3iso.php') calls (via
'action=...') an intermediate PHP file ('Ode3iso.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 three; isomers;
reverse kinetics; Python; gnuplot. |
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References: |
Plate: reverseODEsThreeIso |
• Python minimize [in Optimization and root finding (scipy.optimize)].
• Gnuplot dashtype
• HTML Color Codes
• Python: f-string;
unicode characters; f-string: A Complete Guide
• CISTI'2027, 22.ª
Conferência Ibérica de Sistemas e Tecnologias de Informação
(22.nd Iberian Conference on Information Systems and
Technologies), Portugal, June 2027 (to be announced).
• 1819-08-13: Stokes, George Gabriel
(†1903-02-01, 83 yrs.). |