Module implicit 

Implicit methods for solving PDEs

This module provides implementations of implicit time-stepping schemes for solving partial differential equations (PDEs). Implicit methods are generally more stable than explicit methods and can handle stiff problems more efficiently.

Supported Methods

• Crank-Nicolson method: A second-order implicit method that is A-stable
• Backward Euler method: A first-order fully implicit method that is L-stable
• Trapezoidal rule: A second-order implicit method
• Alternating Direction Implicit (ADI) method: An efficient operator splitting method for multi-dimensional problems

Structs

ADI2D

ADI solver for 2D parabolic PDEs

ADIResult

Result of ADI method solution

BackwardEuler1D

Backward Euler solver for 1D parabolic PDEs

CrankNicolson1D

Crank-Nicolson solver for 1D parabolic PDEs

ImplicitOptions

Options for implicit PDE solvers

ImplicitResult

Result of implicit method solution

Enums

ImplicitMethod

Available implicit time-stepping schemes