Struct DiffusionReaction1D 

pub struct DiffusionReaction1D<S: Scalar, R>
where
    R: Fn(S) -> S + Clone,
{
    pub diffusion: S,
    pub reaction: R,
}

1D Diffusion-Reaction equation: ∂u/∂t = D ∂²u/∂x² + f(u).

Common examples:

• Fisher equation: f(u) = u(1-u)
• Allen-Cahn: f(u) = u - u³
• Logistic: f(u) = ru(1 - u/K)

Fields

diffusion: S

Diffusion coefficient D

reaction: R

Reaction term f(u)

Implementations

impl<S: Scalar, R: Fn(S) -> S + Clone> DiffusionReaction1D<S, R>

pub fn new(diffusion: S, reaction: R) -> Self

pub fn fisher( diffusion: S, growth_rate: S, ) -> DiffusionReaction1D<S, impl Fn(S) -> S + Clone>

where S: Copy,

Create Fisher equation: D ∂²u/∂x² + ru(1-u).

pub fn allen_cahn( diffusion: S, ) -> DiffusionReaction1D<S, impl Fn(S) -> S + Clone>

where S: Copy,

Create Allen-Cahn equation: D ∂²u/∂x² + u - u³.

Trait Implementations

impl<S: Clone + Scalar, R> Clone for DiffusionReaction1D<S, R>

where R: Fn(S) -> S + Clone + Clone,

fn clone(&self) -> DiffusionReaction1D<S, R>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<S: Scalar, R: Fn(S) -> S + Clone> PdeSystem<S> for DiffusionReaction1D<S, R>

fn rhs(&self, _t: S, _x: S, u: S, _du_dx: S, d2u_dx2: S) -> S

Compute the RHS of the PDE at a single spatial point.

fn n_components(&self) -> usize

Number of solution components (for systems).