BoundaryValueDiffEq.jl: High-Performance Boundary 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 v1.22.0
  [764a87c0] BoundaryValueDiffEq v5.22.0 `..`
  [7227322d] BoundaryValueDiffEqAscher v1.15.0 `../lib/BoundaryValueDiffEqAscher`
  [56b672f2] BoundaryValueDiffEqCore v2.6.0 `../lib/BoundaryValueDiffEqCore`
  [85d9eb09] BoundaryValueDiffEqFIRK v1.17.0 `../lib/BoundaryValueDiffEqFIRK`
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.17.0 `../lib/BoundaryValueDiffEqMIRK`
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.16.0 `../lib/BoundaryValueDiffEqMIRKN`
  [ed55bfe0] BoundaryValueDiffEqShooting v1.17.0 `../lib/BoundaryValueDiffEqShooting`
  [2b5f629d] DiffEqBase v7.5.0
  [e30172f5] Documenter v1.17.0
  [daee34ce] DocumenterCitations v1.4.1
  [d12716ef] DocumenterInterLinks v1.1.0
  [87fe0de2] LineSearch v0.1.9
  [7ed4a6bd] LinearSolve v3.80.0
  [43fad042] OptimizationIpopt v1.2.1
  [1dea7af3] OrdinaryDiffEq v7.0.0
  [91a5bcdd] Plots v1.41.6
  [0bca4576] SciMLBase v3.13.0
  [be0294bd] SimpleBoundaryValueDiffEq v1.4.1
  [37e2e46d] LinearAlgebra

and using this machine and Julia version.

Julia Version 1.10.11
Commit a2b11907d7b (2026-03-09 14:59 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 4 × AMD EPYC 9V74 80-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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  [9255f1d6] BoundaryValueDiffEqMIRKN v1.16.0 `../lib/BoundaryValueDiffEqMIRKN`
  [ed55bfe0] BoundaryValueDiffEqShooting v1.17.0 `../lib/BoundaryValueDiffEqShooting`
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Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

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