Module pde 

Partial Differential Equation (PDE) solvers

This module provides implementations of various numerical methods for solving partial differential equations (PDEs).

Supported Methods

• Method of Lines (MOL): Converts PDEs to systems of ODEs by discretizing spatial derivatives
• Finite Difference Methods: Approximates derivatives using differences between grid points
• Finite Element Methods: Approximates solutions using basis functions on a mesh
• Spectral Methods: Approximates solutions using global basis functions

Supported Equation Types

• Parabolic PDEs (e.g., heat equation)
• Hyperbolic PDEs (e.g., wave equation)
• Elliptic PDEs (e.g., Poisson equation)
• Systems of coupled PDEs

Re-exports

pub use error::PDEError;

pub use error::PDEResult;

Modules

amr

Adaptive Mesh Refinement (AMR) for PDEs

elliptic

Elliptic PDE solvers

error

finite_difference

Finite difference methods for spatial discretization of PDEs

finite_element

Finite Element Method (FEM) for solving PDEs

implicit

Implicit methods for solving PDEs

mesh_generation

Automatic Mesh Generation Interfaces

method_of_lines

Method of Lines (MOL) approach for solving PDEs

spectral

Spectral Methods for solving PDEs

Structs

BoundaryCondition

Struct representing a boundary condition for a PDE

Domain

Domain for the PDE problem

PDESolution

Solution to a PDE problem

PDESolverInfo

Information about the PDE solver run

Enums

BoundaryConditionType

Enum representing different types of boundary conditions

BoundaryLocation

Enum representing the location of a boundary

PDEType

Enum representing PDE types

Traits

PDEProblem

Trait for PDE problems

PDESolver

Trait for PDE solvers