Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
Hi,
I tried this harmonic oscillator example with Unitful.jl.
But it doesn't work:
Code:
Click me
```julia ### A Pluto.jl notebook ### # v0.19.22 using Markdown using InteractiveUtils # ╔═╡ d5d60da8-e019-11ed-04a7-71cfc46d81b2 using DifferentialEquations, Plots, Unitful # ╔═╡ a566c896-26a8-43b0-9d3c-3ebbf8d07ce8 #Parameters ω = 1u"1/s" # ╔═╡ ab39b308-376e-462d-ba0e-42d2221ae2b2 #Initial Conditions x₀ = [0.0u"m"] # ╔═╡ 718b157f-6b0e-4c2a-b754-344c80379113 dx₀ = [(π / 2)u"m/s"] # ╔═╡ bbcf41cc-ec39-46f9-9943-ecca029971e4 tspan = (0.0u"s", 2π * 1u"s") # ╔═╡ ba3b892c-3c86-441c-a041-61742bb35b5f ϕ = atan((dx₀[1] / ω) / x₀[1]) # ╔═╡ 324a865e-8b6d-486f-94e6-4909db5160aa A = √(x₀[1]^2 * 1u"1/s^2" + dx₀[1]^2) # ╔═╡ 9b3ac83f-716a-425a-8e19-5b4cfe7466eb #Define the problem function harmonicoscillator(ddu, du, u, ω, t) ddu .= -ω^2 * u end # ╔═╡ d96db523-ef7f-4e1c-acb8-990ee1280238 harmonicoscillator([1u"m/s^2"], dx₀, x₀, ω, 1u"s") # ╔═╡ 7360b24a-acf6-4eb8-bf5f-fc8a97de2547 #Pass to solvers prob = SecondOrderODEProblem(harmonicoscillator, dx₀, x₀, tspan, ω) # ╔═╡ f6751071-b4c8-4bd8-8621-4dc86606ebf8 sol = solve(prob, DPRKN6()) # ╔═╡ a20104f8-1717-444a-9ddf-cc51fa4df697 #Plot plot(sol, vars = [2, 1], linewidth = 2, title = "Simple Harmonic Oscillator", xaxis = "Time", yaxis = "Elongation", label = ["x" "dx"]) # ╔═╡ d9015543-21ab-4e57-923c-3c1bc9c9af8a plot!(t -> A * cos(ω * t - ϕ), lw = 3, ls = :dash, label = "Analytical Solution x") # ╔═╡ 8de9ddb8-0dee-4342-a4a4-c0a5e612b7a0 plot!(t -> -A * ω * sin(ω * t - ϕ), lw = 3, ls = :dash, label = "Analytical Solution dx") # ╔═╡ 00000000-0000-0000-0000-000000000001 PLUTO_PROJECT_TOML_CONTENTS = """ [deps] DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa" Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d" [compat] DifferentialEquations = "~7.7.0" Plots = "~1.38.10" Unitful = "~1.13.1" """ # ╔═╡ 00000000-0000-0000-0000-000000000002 PLUTO_MANIFEST_TOML_CONTENTS = """ # This file is machine-generated - editing it directly is not advised julia_version 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[[deps.Xorg_xkbcomp_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"] git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b" uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" version = "1.4.2+4" [[deps.Xorg_xkeyboard_config_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"] git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d" uuid = "33bec58e-1273-512f-9401-5d533626f822" version = "2.27.0+4" [[deps.Xorg_xtrans_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845" uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" version = "1.4.0+3" [[deps.Zlib_jll]] deps = ["Libdl"] uuid = "83775a58-1f1d-513f-b197-d71354ab007a" version = "1.2.12+3" [[deps.Zstd_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl"] git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c" uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" version = "1.5.5+0" [[deps.ZygoteRules]] deps = ["ChainRulesCore", "MacroTools"] git-tree-sha1 = "977aed5d006b840e2e40c0b48984f7463109046d" uuid = "700de1a5-db45-46bc-99cf-38207098b444" version = "0.2.3" [[deps.fzf_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "868e669ccb12ba16eaf50cb2957ee2ff61261c56" uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09" version = "0.29.0+0" [[deps.libaom_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4" uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b" version = "3.4.0+0" [[deps.libass_jll]] deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" version = "0.15.1+0" [[deps.libblastrampoline_jll]] deps = ["Artifacts", "Libdl", "OpenBLAS_jll"] uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" version = "5.1.1+0" [[deps.libfdk_aac_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" version = "2.0.2+0" [[deps.libpng_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" version = "1.6.38+0" [[deps.libvorbis_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" version = "1.3.7+1" [[deps.nghttp2_jll]] deps = ["Artifacts", "Libdl"] uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" version = "1.48.0+0" [[deps.p7zip_jll]] deps = ["Artifacts", "Libdl"] uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" version = "17.4.0+0" [[deps.x264_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" version = "2021.5.5+0" [[deps.x265_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" version = "3.5.0+0" [[deps.xkbcommon_jll]] deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"] git-tree-sha1 = "9ebfc140cc56e8c2156a15ceac2f0302e327ac0a" uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" version = "1.4.1+0" """ # ╔═╡ Cell order: # ╠═d5d60da8-e019-11ed-04a7-71cfc46d81b2 # ╠═a566c896-26a8-43b0-9d3c-3ebbf8d07ce8 # ╠═ab39b308-376e-462d-ba0e-42d2221ae2b2 # ╠═718b157f-6b0e-4c2a-b754-344c80379113 # ╠═bbcf41cc-ec39-46f9-9943-ecca029971e4 # ╠═ba3b892c-3c86-441c-a041-61742bb35b5f # ╠═324a865e-8b6d-486f-94e6-4909db5160aa # ╠═9b3ac83f-716a-425a-8e19-5b4cfe7466eb # ╠═d96db523-ef7f-4e1c-acb8-990ee1280238 # ╠═7360b24a-acf6-4eb8-bf5f-fc8a97de2547 # ╠═f6751071-b4c8-4bd8-8621-4dc86606ebf8 # ╠═a20104f8-1717-444a-9ddf-cc51fa4df697 # ╠═d9015543-21ab-4e57-923c-3c1bc9c9af8a # ╠═8de9ddb8-0dee-4342-a4a4-c0a5e612b7a0 # ╟─00000000-0000-0000-0000-000000000001 # ╟─00000000-0000-0000-0000-000000000002 ```