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For questions about modeling movement from high to low concentrations, where concentration could, for example, refer to number of particles or amount of thermal energy in a region. Problems will often involve solving a diffusion (differential) equation.

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Solving the diffusion/heat equation for a randomly distributed set of points in 3D

If you have a cloud of points and you don't want to use mesh-based methods like FEM or FVM, a possibility is to use a mesh-free method like the Finite Point Method. For instance, you could have a look …
Riccardo Scorretti's user avatar