4.4.5 pde.solvers.explicit module

Defines an explicit solver supporting various methods

class ExplicitSolver(pde, scheme='euler', *, backend='auto', adaptive=False, tolerance=0.0001)[source]

Bases: AdaptiveSolverBase

various explicit PDE solvers

  • pde (PDEBase) – The instance describing the pde that needs to be solved

  • scheme (str) – Defines the explicit scheme to use. Supported values are ‘euler’ and ‘runge-kutta’ (or ‘rk’ for short).

  • backend (str) – Determines how the function is created. Accepted values are ‘numpy` and ‘numba’. Alternatively, ‘auto’ lets the code decide for the most optimal backend.

  • adaptive (bool) – When enabled, the time step is adjusted during the simulation using the error tolerance set with tolerance.

  • tolerance (float) – The error tolerance used in adaptive time stepping. This is used in adaptive time stepping to choose a time step which is small enough so the truncation error of a single step is below tolerance.

info: dict[str, Any]
name = 'explicit'