ODEInterface.jl

This is an extension for importing solvers from ODEInterface.jl into the SciML interface. Note that these solvers do not come by default, and thus one needs to install the package before using these solvers:

using Pkg
Pkg.add("ODEInterface")
using ODEInterface, BoundaryValueDiffEq

Solver API

BoundaryValueDiffEq.BVPM2 — Type

BVPM2(; max_num_subintervals = 3000, method_choice = 4, diagnostic_output = 1,
    error_control = 1, singular_term = nothing)
BVPM2(max_num_subintervals::Int, method_choice::Int, diagnostic_output::Int,
    error_control::Int, singular_term)

Fortran code for solving two-point boundary value problems. For detailed documentation, see ODEInterface.jl.

Keyword Arguments:

- `max_num_subintervals`: Number of maximal subintervals, default as 3000.
- `method_choice`: Choice for IVP-solvers, default as Runge-Kutta method of order 4,
  available choices:
    - `2`: Runge-Kutta method of order 2.
    - `4`: Runge-Kutta method of order 4.
    - `6`: Runge-Kutta method of order 6.
- `diagnostic_output`: Diagnostic output for BVPM2, default as non printout, available
  choices:
    - `-1`: Full diagnostic printout.
    - `0`: Selected printout.
    - `1`: No printout.
- `error_control`: Determines the error-estimation for which RTOL is used, default as
  defect control, available choices:
    - `1`: Defect control.
    - `2`: Global error control.
    - `3`: Defect and then global error control.
    - `4`: Linear combination of defect and global error control.
- `singular_term`: either nothing if the ODEs have no singular terms at the left
  boundary or a constant (d,d) matrix for the
    singular term.

Note

Only available if the ODEInterface package is loaded.

source

BoundaryValueDiffEq.BVPSOL — Type

BVPSOL(; bvpclass = 2, sol_method = 0, odesolver = nothing)
BVPSOL(bvpclass::Int, sol_methods::Int, odesolver)

A FORTRAN77 code which solves highly nonlinear two point boundary value problems using a local linear solver (condensing algorithm) or a global sparse linear solver for the solution of the arising linear subproblems, by Peter Deuflhard, Georg Bader, Lutz Weimann. For detailed documentation, see ODEInterface.jl.

Keyword Arguments

- `bvpclass`: Boundary value problem classification, default as highly nonlinear with
  bad initial data, available choices:
    - `0`: Linear boundary value problem.
    - `1`: Nonlinear with good initial data.
    - `2`: Highly Nonlinear with bad initial data.
    - `3`: Highly nonlinear with bad initial data and initial rank reduction to
      seperable linear boundary conditions.
- `sol_method`: Switch for solution methods, default as local linear solver with
  condensing algorithm, available choices:
    - `0`: Use local linear solver with condensing algorithm.
    - `1`: Use global sparse linear solver.
- `odesolver`: Either `nothing` or ode-solver(dopri5, dop853, seulex, etc.).

Note

Only available if the ODEInterface package is loaded.

source

BoundaryValueDiffEq.COLNEW — Type

COLNEW(; bvpclass = 1, collocationpts = 7, diagnostic_output = 1,
    max_num_subintervals = 3000, bc_func = nothing, dbc_func = nothing,
    zeta = nothing)
COLNEW(bvpclass::Int, collocationpts::Int, diagnostic_output::Int,
    max_num_subintervals::Int, bc_func, dbc_func, zeta::AbstractVector)

Keyword Arguments:

bvpclass: Boundary value problem classification, default as nonlinear and "extra sensitive", available choices:
- 0: Linear boundary value problem.
- 1: Nonlinear and regular.
- 2: Nonlinear and "extra sensitive" (first relax factor is rstart and the nonlinear iteration does not rely on past convergence).
- 3: fail-early: return immediately upon: a) two successive non-convergences. b) after obtaining an error estimate for the first time.
collocationpts: Number of collocation points per subinterval. Require orders[i] ≤ k ≤ 7, default as 7
diagnostic_output: Diagnostic output for COLNEW, default as no printout, available choices:
- -1: Full diagnostic printout.
- 0: Selected printout.
- 1: No printout.
max_num_subintervals: Number of maximal subintervals, default as 3000.
bc_func: Boundary condition accord with ODEInterface.jl, only used for multi-points BVP.
dbc_func: Jacobian of boundary condition accord with ODEInterface.jl, only used for multi-points BVP.
zeta: The points in interval where boundary conditions are specified, only used for multi-points BVP.

A Fortran77 code solves a multi-points boundary value problems for a mixed order system of ODEs. It incorporates a new basis representation replacing b-splines, and improvements for the linear and nonlinear algebraic equation solvers.

Warning

Only supports two-point boundary value problems.

Note

Only available if the ODEInterface package is loaded.

source