# Questions tagged [ode]

Ordinary Differential Equations (ODEs) contain functions of only one independent variable, and one or more of their derivatives with respect to that variable. This tag is intended for questions on modeling phenomena with ODEs, solving ODEs, and other related aspects.

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### inverse problem of predicting parameters of ODEs driven by data

Consider a system of ODEs \begin{align} u' = f(u,v)\\ v' = g(u,v) \end{align} with some unknown parameters in $f$ and $g$, where primes denote time derivatives. No data of $u(t)$ or $v(t)$ are ...
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### Order of numerical solver when calculating difference between forwards and backwards solution

I'm working in applied oceanography, where people are sometimes interested in calculating backwards trajectories'' of things floating on the ocean, i.e., going backwards in time to figure out where ...
• 243
1 vote
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### ODEs solved by physics-informed neural networks

Is it possible that an ODE (with an IC) solution by physics informed neural networks (PINNs) turns out to be a mixture of several branch solutions of the same bulk ODE but with different ICs, even ...
• 317
1 vote
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### Can I combine the backward and forward euler methods - simialr to modified euler method?

Constructing Modified Euler Using the same strategy as done in the construction of Modified Euler. Starting from Trapezoidal Method $$y_1 = y_0 + \dfrac{h}{2}\left(f(x_0,y_0) + f(x_1,y_1)\right)$$ ...
• 11
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### Raman model equations using RK4

I am trying to solve below ODE equations for Raman model but I am having errors, mostly overflow in multiply and add. Please I need your help. Below is the code I have written so far. I am new to ...
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### From Runge-Kutta Butcher tableau to general linear methods matrices?

I am trying to understand how the relationship between Butcher tables for Runge-Kutta methods and their generalization to general linear methods matrices (by Butcher also). Runge-Kutta methods can be ...
• 343
1 vote
104 views

### Educational Purpose: How to synchronize chaotic systems

The graph plots the X coordinate of the synchronized Lorenz chaotic system. I am self learning by reading research articles on how to synchronize identical chaotic systems. But as seen from the figure,...
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### ode23, 45, 15s, 15i in matlab for conservative ODEs

Which of ode23, 45, 15s, 15i in matlab are dissipative or anti-dissipative for conservative ODEs? Do they STAY dissipative or anti-dissipative for ALL conservative ODEs nor not? If not, what about for ...
• 317
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