BoundaryValueDiffEq.jl: High-Performance Bounday Value Problem Solvers

BoundaryValueDiffEq.jl is a component package in the DifferentialEquations.jl ecosystem. The package includes its own high-performance BVP solvers which covers wide range of different kinds boundary value problems, includes the ability to swap out to fast direct and iterative nonlinear solvers, along with the ability to use sparse automatic differentiation for Jacobian construction and Jacobian-vector products.

Installation

To install BoundaryValueDiffEq.jl, use the Julia package manager:

using Pkg
Pkg.add("BoundaryValueDiffEq")

Contributing

Please refer to the SciML ColPrac: Contributor's Guide on Collaborative Practices for Community Packages for guidance on PRs, issues, and other matters relating to contributing to SciML.
See the SciML Style Guide for common coding practices and other style decisions.
There are a few community forums:
- The #diffeq-bridged and #sciml-bridged channels in the Julia Slack
- The #diffeq-bridged and #sciml-bridged channels in the Julia Zulip
- On the Julia Discourse forums
- See also SciML Community page

Reproducibility

The documentation of this SciML package was built using these direct dependencies,

Status `~/work/BoundaryValueDiffEq.jl/BoundaryValueDiffEq.jl/docs/Project.toml`
  [47edcb42] ADTypes v1.13.0
  [764a87c0] BoundaryValueDiffEq v5.16.0 `..`
  [7227322d] BoundaryValueDiffEqAscher v1.5.0 `../lib/BoundaryValueDiffEqAscher`
  [56b672f2] BoundaryValueDiffEqCore v1.8.0 `../lib/BoundaryValueDiffEqCore`
  [85d9eb09] BoundaryValueDiffEqFIRK v1.6.0 `../lib/BoundaryValueDiffEqFIRK`
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.6.0 `../lib/BoundaryValueDiffEqMIRK`
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.5.0 `../lib/BoundaryValueDiffEqMIRKN`
  [ed55bfe0] BoundaryValueDiffEqShooting v1.6.0 `../lib/BoundaryValueDiffEqShooting`
  [2b5f629d] DiffEqBase v6.164.1
  [e30172f5] Documenter v1.8.1
  [daee34ce] DocumenterCitations v1.3.6
  [d12716ef] DocumenterInterLinks v1.0.0
  [87fe0de2] LineSearch v0.1.4
⌅ [7ed4a6bd] LinearSolve v2.39.0
  [1dea7af3] OrdinaryDiffEq v6.91.0
  [91a5bcdd] Plots v1.40.9
  [0bca4576] SciMLBase v2.75.1
  [be0294bd] SimpleBoundaryValueDiffEq v1.1.0
  [37e2e46d] LinearAlgebra
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`

and using this machine and Julia version.

Julia Version 1.10.8
Commit 4c16ff44be8 (2025-01-22 10:06 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 4 × AMD EPYC 7763 64-Core Processor
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)
Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)
Environment:
  JULIA_DEBUG = Documenter

A more complete overview of all dependencies and their versions is also provided.

Status `~/work/BoundaryValueDiffEq.jl/BoundaryValueDiffEq.jl/docs/Manifest.toml`
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  [85d9eb09] BoundaryValueDiffEqFIRK v1.6.0 `../lib/BoundaryValueDiffEqFIRK`
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.6.0 `../lib/BoundaryValueDiffEqMIRK`
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.5.0 `../lib/BoundaryValueDiffEqMIRKN`
  [ed55bfe0] BoundaryValueDiffEqShooting v1.6.0 `../lib/BoundaryValueDiffEqShooting`
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  [3fa0cd96] REPL
  [9a3f8284] Random
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization
  [1a1011a3] SharedArrays
  [6462fe0b] Sockets
  [2f01184e] SparseArrays v1.10.0
  [10745b16] Statistics v1.10.0
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test
  [cf7118a7] UUIDs
  [4ec0a83e] Unicode
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.4.0+0
  [e37daf67] LibGit2_jll v1.6.4+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.2+1
  [14a3606d] MozillaCACerts_jll v2023.1.10
  [4536629a] OpenBLAS_jll v0.3.23+4
  [05823500] OpenLibm_jll v0.8.1+2
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.2.1+1
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.11.0+0
  [8e850ede] nghttp2_jll v1.52.0+1
  [3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

You can also download the manifest file and the project file.