Are there any programming problems for which you need to solve differential equations?

Question

Programming

Motive: Just curious.
Tell us about some practical problem that required solving a differential equation.
Ideally, there might be an article about it.
I'll be nice to you.

Answer 1

The question is how to solve difours. Analytically or numerically.
From my experience, I have never solved difuras analytically. But numerically for the description of physical processes:
- continuum mechanics (deformation, destruction, phase transitions);
- classic mechanics (game physics engine);
- the theory of automated control (artificial intelligence in the game to control objects with physics - cars for example).

Answer 2

Any dynamic processes are described by diffurs. Accordingly, you yourself can come up with a bunch of everything where these diffusers are. Just look out the window.

Answer 3

Difuras with partial derivatives are often used in solving problems related to computer vision. In general, in DSP in general and in particular for modeling various processes.

Answer 4

Analysis of any experimental data (dependence of quantities) - only diffuses!
And this is the whole world.

Answer 5

If it will be interesting and you will be able to solve problems like this one (reduced to an ordinary differential equation), please contact us.