Population
Image processing library in C++

Matrix In > Matrix Out (anisotropic nonlinear diffusion equation, permeability, random walk) More...
Classes  
class  pop::PDE 
Algorithm based on partial differential equations. More...  
Matrix In > Matrix Out (anisotropic nonlinear diffusion equation, permeability, random walk)
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. In this module, we use dinitedifference methods a for approximating the solutions to these equations using finite difference equations to approximate derivatives. The most classical equation is the diffusion : . The approximation is coded as follows:
For a more flexible implementation, I define a collection of functors pop::FunctorPDE for the classical differential operators in finite difference scheme.