Package dev.nm.analysis.differentialequation.pde.finitedifference.parabolic.dim2

Class Summary

Class	Description
AlternatingDirectionImplicitMethod	Alternating direction implicit (ADI) method is an implicit method for obtaining numerical approximations to the solution of a HeatEquation2D.
HeatEquation2D	A two-dimensional heat equation (or diffusion equation) is a parabolic PDE that takes the following form. \[ \frac{\partial u}{\partial t} = \beta (\frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2}), \] with an initial condition of the form: \[ u(0, x, y) = f(x, y), 0 < x < a, 0 < y < b \] and Dirichlet boundary conditions of the form: \[ u(t, x, y) = g(t, x, y), (x, y) \in \delta R, \] where \(\delta R\) is the boundary of the surface R.