pde_opt.numerics.symbolic.allen_cahn_sym

This module contains a symbolic equation class for the Allen-Cahn equation.

Classes

SymbolicAllenCahn2DPeriodic(domain, kappa, ...)

Build exact RHS for Allen–Cahn equation, used only in tests.

class pde_opt.numerics.symbolic.allen_cahn_sym.SymbolicAllenCahn2DPeriodic(domain: object, kappa: float, mu_sym: Callable[[sympy.Expr], sympy.Expr], R_sym: Callable[[sympy.Expr], sympy.Expr], u_star: sympy.Expr)[source]

Build exact RHS for Allen–Cahn equation, used only in tests.

domain: object

kappa: float

mu_sym: Callable[[sympy.Expr], sympy.Expr]

R_sym: Callable[[sympy.Expr], sympy.Expr]

u_star: sympy.Expr

u_exact(t: float)[source]: Exact solution for the equation

rhs_exact(t: float)[source]: Exact RHS for the equation

__init__(domain: object, kappa: float, mu_sym: Callable[[sympy.Expr], sympy.Expr], R_sym: Callable[[sympy.Expr], sympy.Expr], u_star: sympy.Expr) → None