|
Nonlinear ODEs
with uncertain IVs Computes IVP ODEs with uncertainty in
initial values |
|
|
| Final t |
|
Final t for integration. |
| Initial values |
|
Initial values. |
| cv |
% |
Initial values (single) coefficient of
variation. |
| Parameters |
|
ODEs parameters. |
| Tolerance |
% |
Tolerance for objective. |
| Trials (N), seed |
→ |
Monte Carlo trials, seed. |
| Method |
|
Method of integration. |
| Int. y-axis bound |
(automatic: a) |
Integration: upper bound for y
in plot. |
| Sim. y-, x-axis bounds |
|
Simulation: axes bound in plot. |
| Points |
|
Simulation: n. of plot points. |
| Show values |
|
Show graph coordinates. |
Solves the system of ODEs
in Fig. 1, and explores uncertainty in the initial values,
made Gaussian, μ = IVs and σ =
μ.cv.
 Fig. 1 Shows the graphical
result. |
| References: |
Plate: RandIVnlODEs |
|
• COUPLED80 2025, 09–11 October, 2025, Porto (Portugal).
• 1784-07-22: Bessel, Friedrich Wilhelm
(†1846-03-17, 61 yrs.). |
