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Update MTK suggestion to use the stdlib #422

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Merged
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Apr 18, 2025
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Update MTK suggestion to use the stdlib #422

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e36d1b7
Update MTK suggestion to use the stdlib
ChrisRackauckas Apr 18, 2025
e7b267b
Update symbolics.md
ChrisRackauckas Apr 18, 2025
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25 changes: 3 additions & 22 deletions docs/src/symbolics.md
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Expand Up @@ -41,25 +41,6 @@ ex3 = expand_derivatives(D(D(A(τ))))

## Using with ModelingToolkit.jl

Most common use case with [ModelingToolkit.jl](https://docs.sciml.ai/ModelingToolkit/stable/) is to plug in interpolation objects as input functions. This can be done using `TimeVaryingFunction` component of [ModelingToolkitStandardLibrary.jl](https://docs.sciml.ai/ModelingToolkitStandardLibrary/stable/).

```@example mtk
using DataInterpolations
using ModelingToolkitStandardLibrary.Blocks
using ModelingToolkit
using ModelingToolkit: t_nounits as t, D_nounits as D
using OrdinaryDiffEq

us = [0.0, 1.5, 0.0]
times = [0.0, 0.5, 1.0]
A = LinearInterpolation(us, times)

@named src = TimeVaryingFunction(A)
vars = @variables x(t) out(t)
eqs = [out ~ src.output.u, D(x) ~ 1 + out]
@named sys = ODESystem(eqs, t, vars, []; systems = [src])

sys = structural_simplify(sys)
prob = ODEProblem(sys, [x => 0.0], (times[1], times[end]))
sol = solve(prob)
```
We recommend using the
[ModelingToolkitStandardLibrary Interoplation Blocks](https://docs.sciml.ai/ModelingToolkitStandardLibrary/stable/tutorials/input_component/)
in order to use DataInterpolations.jl in MTK models.
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