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Tutorial on SIS gives Discretization failed with ArgumentError: dS => 0.5 is not a parameter #436

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PeterARBork opened this issue Feb 24, 2025 · 0 comments
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@PeterARBork
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PeterARBork commented Feb 24, 2025

Describe the bug 🐞

Tutorial on SIS gives Discretization failed with ArgumentError: dS => 0.5 is not a parameter.

The error can be avoided by using ] compat MethodOfLines =0.11.0, so a bug may have been introduced in later versions of MOL.

Expected behavior

Tutorial is expected to complete its computations.

Minimal Reproducible Example 👇
Simply copy the SIS example (below) and run it on a clean instantiation of julia 1.11.1. It will fail at the call to 'discretize'.

using DifferentialEquations, ModelingToolkit, MethodOfLines, DomainSets, Plots

# Parameters, variables, and derivatives
@parameters t x
@parameters dS dI brn ϵ
@variables S(..) I(..)
Dt = Differential(t)
Dx = Differential(x)
Dxx = Differential(x)^2

# Define functions
function γ(x)
    y = x + 1.0
    return y
end

function ratio(x, brn, ϵ)
    y = brn + ϵ * sin(2 * pi * x)
    return y
end

# 1D PDE and boundary conditions
eq = [
    Dt(S(t, x)) ~ dS * Dxx(S(t, x)) -
                  ratio(x, brn, ϵ) * γ(x) * S(t, x) * I(t, x) / (S(t, x) + I(t, x)) +
                  γ(x) * I(t, x),
    Dt(I(t, x)) ~ dI * Dxx(I(t, x)) +
                  ratio(x, brn, ϵ) * γ(x) * S(t, x) * I(t, x) / (S(t, x) + I(t, x)) -
                  γ(x) * I(t, x)]
bcs = [S(0, x) ~ 0.9 + 0.1 * sin(2 * pi * x),
    I(0, x) ~ 0.1 + 0.1 * cos(2 * pi * x),
    Dx(S(t, 0)) ~ 0.0,
    Dx(S(t, 1)) ~ 0.0,
    Dx(I(t, 0)) ~ 0.0,
    Dx(I(t, 1)) ~ 0.0]

# Space and time domains
domains = [t  Interval(0.0, 10.0),
    x  Interval(0.0, 1.0)]

# PDE system
@named pdesys = PDESystem(eq, bcs, domains, [t, x], [S(t, x), I(t, x)], [dS, dI, brn, ϵ];
    defaults = Dict(dS => 0.5, dI => 0.1, brn => 3, ϵ => 0.1))

# Method of lines discretization
# Need a small dx here for accuracy
dx = 0.01
order = 2
discretization = MOLFiniteDifference([x => dx], t)

# Convert the PDE problem into an ODE problem
prob = discretize(pdesys, discretization);

Error & Stacktrace ⚠️

The system of equations is:

Discretization failed, please post an issue on https://github.com/SciML/MethodOfLines.jl with the failing code and system at low point count.

ERROR: ArgumentError: dS => 0.5 is not a parameter.
Stacktrace:
 [1] check_parameters
   @ ~/.julia/packages/ModelingToolkit/YLJ0I/src/utils.jl:127 [inlined]
 [2] ODESystem(tag::UInt64, deqs::Vector{…}, iv::SymbolicUtils.BasicSymbolic{…}, dvs::Vector{…}, ps::Vector{…}, tspan::Nothing, var_to_name::Dict{…}, ctrls::Vector{…}, observed::Vector{…}, tgrad::Base.RefValue{…}, jac::Base.RefValue{…}, ctrl_jac::Base.RefValue{…}, Wfact::Base.RefValue{…}, Wfact_t::Base.RefValue{…}, name::Symbol, description::String, systems::Vector{…}, defaults::Dict{…}, guesses::Dict{…}, torn_matching::Nothing, initializesystem::Nothing, initialization_eqs::Vector{…}, schedule::Nothing, connector_type::Nothing, preface::Nothing, cevents::Vector{…}, devents::Vector{…}, parameter_dependencies::Vector{…}, assertions::Dict{…}, metadata::MethodOfLines.MOLMetadata{…}, gui_metadata::Nothing, is_dde::Bool, tstops::Vector{…}, tearing_state::Nothing, substitutions::Nothing, complete::Bool, index_cache::Nothing, discrete_subsystems::Nothing, solved_unknowns::Nothing, split_idxs::Nothing, parent::Nothing; checks::Bool)
   @ ModelingToolkit ~/.julia/packages/ModelingToolkit/YLJ0I/src/systems/diffeqs/odesystem.jl:207
 [3] ODESystem
   @ ~/.julia/packages/ModelingToolkit/YLJ0I/src/systems/diffeqs/odesystem.jl:194 [inlined]
 [4] ODESystem(deqs::Vector{…}, iv::Num, dvs::Vector{…}, ps::Vector{…}; controls::Vector{…}, observed::Vector{…}, systems::Vector{…}, tspan::Nothing, name::Symbol, description::String, default_u0::Dict{…}, default_p::Dict{…}, defaults::Dict{…}, guesses::Dict{…}, initializesystem::Nothing, initialization_eqs::Vector{…}, schedule::Nothing, connector_type::Nothing, preface::Nothing, continuous_events::Nothing, discrete_events::Nothing, parameter_dependencies::Vector{…}, assertions::Dict{…}, checks::Bool, metadata::MethodOfLines.MOLMetadata{…}, gui_metadata::Nothing, is_dde::Nothing, tstops::Vector{…}, discover_from_metadata::Bool)
   @ ModelingToolkit ~/.julia/packages/ModelingToolkit/YLJ0I/src/systems/diffeqs/odesystem.jl:301
 [5] generate_system(disc_state::PDEBase.EquationState, s::MethodOfLines.DiscreteSpace{…}, u0::Vector{…}, tspan::Tuple{…}, metadata::MethodOfLines.MOLMetadata{…}, disc::MOLFiniteDifference{…})
   @ PDEBase ~/.julia/packages/PDEBase/VVGPP/src/discretization_state.jl:40
 [6] symbolic_discretize(pdesys::PDESystem, discretization::MOLFiniteDifference{…})
   @ PDEBase ~/.julia/packages/PDEBase/VVGPP/src/symbolic_discretize.jl:89
 [7] discretize(pdesys::PDESystem, discretization::MOLFiniteDifference{…}; analytic::Nothing, kwargs::@Kwargs{})
   @ PDEBase ~/.julia/packages/PDEBase/VVGPP/src/discretization_state.jl:57
 [8] discretize(pdesys::PDESystem, discretization::MOLFiniteDifference{…})
   @ PDEBase ~/.julia/packages/PDEBase/VVGPP/src/discretization_state.jl:54
 [9] top-level scope
   @ ~/Documents/GitHub/SmallLargeClearance/scripts/MOLSIStutorial.jl:1
Some type information was truncated. Use `show(err)` to see complete types.

Environment (please complete the following information):

  • Output of using Pkg; Pkg.status()
Status `~/Documents/GitHub/SmallLargeClearance/Project.toml`
  [336ed68f] CSV v0.10.15
  [a93c6f00] DataFrames v1.7.0
  [0c46a032] DifferentialEquations v7.16.0
  [5b8099bc] DomainSets v0.7.15
  [a98d9a8b] Interpolations v0.15.1
  [b964fa9f] LaTeXStrings v1.4.0
  [94925ecb] MethodOfLines v0.11.7
  [961ee093] ModelingToolkit v9.64.1
  [1dea7af3] OrdinaryDiffEq v6.91.0
  [d96e819e] Parameters v0.12.3
  [91a5bcdd] Plots v1.40.9
  [10745b16] Statistics v1.11.1
  [37e2e46d] LinearAlgebra v1.11.0
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `~/Documents/GitHub/SmallLargeClearance/Manifest.toml`
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  [3b182d85] Graphite2_jll v1.3.14+1
  [2e76f6c2] HarfBuzz_jll v8.5.0+0
  [1d5cc7b8] IntelOpenMP_jll v2025.0.4+0
  [aacddb02] JpegTurbo_jll v3.1.1+0
  [c1c5ebd0] LAME_jll v3.100.2+0
  [88015f11] LERC_jll v4.0.1+0
  [1d63c593] LLVMOpenMP_jll v18.1.7+0
  [dd4b983a] LZO_jll v2.10.3+0
⌅ [e9f186c6] Libffi_jll v3.2.2+2
  [d4300ac3] Libgcrypt_jll v1.11.0+0
  [7e76a0d4] Libglvnd_jll v1.7.0+0
  [7add5ba3] Libgpg_error_jll v1.51.1+0
  [94ce4f54] Libiconv_jll v1.18.0+0
  [4b2f31a3] Libmount_jll v2.40.3+0
  [89763e89] Libtiff_jll v4.7.1+0
  [38a345b3] Libuuid_jll v2.40.3+0
  [856f044c] MKL_jll v2025.0.1+1
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.16+0
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.3.3+0
  [36c8627f] Pango_jll v1.56.1+0
⌅ [30392449] Pixman_jll v0.43.4+0
⌅ [c0090381] Qt6Base_jll v6.7.1+1
⌅ [629bc702] Qt6Declarative_jll v6.7.1+2
⌅ [ce943373] Qt6ShaderTools_jll v6.7.1+1
⌃ [e99dba38] Qt6Wayland_jll v6.7.1+1
  [f50d1b31] Rmath_jll v0.5.1+0
⌅ [fb77eaff] Sundials_jll v5.2.3+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.21.0+2
  [2381bf8a] Wayland_protocols_jll v1.36.0+0
  [02c8fc9c] XML2_jll v2.13.6+1
  [aed1982a] XSLT_jll v1.1.42+0
  [ffd25f8a] XZ_jll v5.6.4+1
  [f67eecfb] Xorg_libICE_jll v1.1.1+0
  [c834827a] Xorg_libSM_jll v1.2.4+0
  [4f6342f7] Xorg_libX11_jll v1.8.6+3
  [0c0b7dd1] Xorg_libXau_jll v1.0.12+0
  [935fb764] Xorg_libXcursor_jll v1.2.3+0
  [a3789734] Xorg_libXdmcp_jll v1.1.5+0
  [1082639a] Xorg_libXext_jll v1.3.6+3
  [d091e8ba] Xorg_libXfixes_jll v6.0.0+0
  [a51aa0fd] Xorg_libXi_jll v1.8.2+0
  [d1454406] Xorg_libXinerama_jll v1.1.5+0
  [ec84b674] Xorg_libXrandr_jll v1.5.4+0
  [ea2f1a96] Xorg_libXrender_jll v0.9.11+1
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.2+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.0+3
  [cc61e674] Xorg_libxkbfile_jll v1.1.2+1
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] Xorg_xcb_util_jll v0.4.0+1
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] Xorg_xkbcomp_jll v1.4.6+1
  [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
  [c5fb5394] Xorg_xtrans_jll v1.5.1+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [35ca27e7] eudev_jll v3.2.9+0
  [214eeab7] fzf_jll v0.56.3+0
  [1a1c6b14] gperf_jll v3.1.1+1
  [a4ae2306] libaom_jll v3.11.0+0
  [0ac62f75] libass_jll v0.15.2+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.3+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.46+0
  [f27f6e37] libvorbis_jll v1.3.7+2
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2022.0.0+0
⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+2
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.11.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.11.0
  [de0858da] Printf v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.11.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.6.0+0
  [e37daf67] LibGit2_jll v1.7.2+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.6+0
  [14a3606d] MozillaCACerts_jll v2023.12.12
  [4536629a] OpenBLAS_jll v0.3.27+1
  [05823500] OpenLibm_jll v0.8.1+2
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.7.0+0
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.11.0+0
  [8e850ede] nghttp2_jll v1.59.0+0
  [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`
  • Output of versioninfo()

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@PeterARBork PeterARBork added the bug Something isn't working label Feb 24, 2025
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