Struct BackwardEuler1D 

pub struct BackwardEuler1D { /* private fields */ }

Backward Euler solver for 1D parabolic PDEs

This solver uses the Backward Euler method, which is a first-order fully implicit method that is L-stable and well-suited for stiff problems.

Implementations

impl BackwardEuler1D

pub fn new( domain: Domain, time_range: [f64; 2], diffusion_coeff: impl Fn(f64, f64, f64) -> f64 + Send + Sync + 'static, initial_condition: impl Fn(f64) -> f64 + Send + Sync + 'static, boundary_conditions: Vec<BoundaryCondition<f64>>, options: Option<ImplicitOptions>, ) -> PDEResult<Self>

Create a new Backward Euler solver for 1D parabolic PDEs

pub fn with_advection( self, advection_coeff: impl Fn(f64, f64, f64) -> f64 + Send + Sync + 'static, ) -> Self

Add an advection term to the PDE

pub fn with_reaction( self, reaction_term: impl Fn(f64, f64, f64) -> f64 + Send + Sync + 'static, ) -> Self

Add a reaction term to the PDE

pub fn with_fd_scheme(self, scheme: FiniteDifferenceScheme) -> Self

Set the finite difference scheme for spatial discretization

pub fn solve(&self) -> PDEResult<ImplicitResult>

Solve the PDE using the Backward Euler method