Fix 9 typos across multiple files

[ChrisRackauckas]

Summary\n\nThis PR fixes legitimate typos found by the typos-cli tool.\n\n## Changes\n\nFixed 9 different typos with 20 total corrections:\n\n- Bounday → Boundary (1 occurrences)\n- seperable → separable (1 occurrences)\n- boudnary → boundary (2 occurrences)\n- intermidiate → intermediate (1 occurrences)\n- Intermidiate → Intermediate (5 occurrences)\n- boundry → boundary (4 occurrences)\n- Derivtive → Derivative (2 occurrences)\n- guass → gauss (2 occurrences)\n- compatiability → compatibility (2 occurrences)\n\n## Files Modified\n\n- docs/src/index.md\n- lib/BoundaryValueDiffEqAscher/src/ascher_tableaus.jl\n- lib/BoundaryValueDiffEqCore/src/solution_utils.jl\n- lib/BoundaryValueDiffEqFIRK/src/interpolation.jl\n- lib/BoundaryValueDiffEqFIRK/test/expanded/firk_basic_tests.jl\n- lib/BoundaryValueDiffEqFIRK/test/nested/firk_basic_tests.jl\n- lib/BoundaryValueDiffEqMIRK/src/interpolation.jl\n- lib/BoundaryValueDiffEqMIRK/test/mirk_basic_tests.jl\n- lib/BoundaryValueDiffEqMIRKN/src/interpolation.jl\n- src/extension_algs.jl\n- test/misc/bigfloat_test.jl\n\n🤖 Generated automatically by typos-cli analysis

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Benchmark Results

Click to check benchmark results

	master	65f941b...	master / 65f941b...
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK2()	0.583 ± 0.023 s	0.59 ± 0.02 s	0.989 ± 0.051
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK3()	13.7 ± 0.52 ms	14 ± 0.81 ms	0.979 ± 0.068
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK4()	3.12 ± 0.21 ms	3.21 ± 0.22 ms	0.972 ± 0.094
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK5()	9.37 ± 1.2 ms	9.38 ± 1.3 ms	0.999 ± 0.19
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK6()	1.62 ± 0.28 ms	1.64 ± 0.3 ms	0.986 ± 0.24
Simple Pendulum/IIP/MultipleShooting(10, Tsit5; grid_coarsening = false)	1.85 ± 0.64 ms	1.89 ± 0.63 ms	0.976 ± 0.47
Simple Pendulum/IIP/MultipleShooting(10, Tsit5; grid_coarsening = true)	3.1 ± 0.98 ms	3.18 ± 0.96 ms	0.973 ± 0.43
Simple Pendulum/IIP/MultipleShooting(100, Tsit5; grid_coarsening = false)	0.067 ± 0.0069 s	0.0701 ± 0.0084 s	0.956 ± 0.15
Simple Pendulum/IIP/MultipleShooting(100, Tsit5; grid_coarsening = true)	0.0815 ± 0.015 s	0.0828 ± 0.014 s	0.984 ± 0.25
Simple Pendulum/IIP/Shooting(Tsit5())	0.24 ± 0.076 ms	0.243 ± 0.074 ms	0.988 ± 0.43
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK2()	0.748 ± 0.0072 s	0.768 ± 0.016 s	0.974 ± 0.022
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK3()	16.7 ± 6.1 ms	17 ± 6.7 ms	0.986 ± 0.53
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK4()	3.61 ± 0.21 ms	3.7 ± 0.25 ms	0.976 ± 0.087
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK5()	10.8 ± 1 ms	11 ± 1.1 ms	0.976 ± 0.13
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK6()	1.89 ± 0.19 ms	1.91 ± 0.23 ms	0.989 ± 0.15
Simple Pendulum/OOP/MultipleShooting(10, Tsit5; grid_coarsening = false)	3.68 ± 2.8 ms	3.79 ± 2.9 ms	0.973 ± 1.1
Simple Pendulum/OOP/MultipleShooting(10, Tsit5; grid_coarsening = true)	6.11 ± 5.1 ms	6.27 ± 5.4 ms	0.974 ± 1.2
Simple Pendulum/OOP/MultipleShooting(100, Tsit5; grid_coarsening = false)	0.12 ± 0.0065 s	0.126 ± 0.0071 s	0.949 ± 0.074
Simple Pendulum/OOP/MultipleShooting(100, Tsit5; grid_coarsening = true)	0.15 ± 0.015 s	0.15 ± 0.01 s	0.997 ± 0.12
Simple Pendulum/OOP/Shooting(Tsit5())	0.65 ± 0.044 ms	0.638 ± 0.043 ms	1.02 ± 0.097
time_to_load	5.5 ± 0.058 s	5.46 ± 0.049 s	1.01 ± 0.014

### Benchmark Plots A plot of the benchmark results has been uploaded as an artifact to the workflow run for this PR. Go to "Actions"->"Benchmark a pull request"->[the most recent run]->"Artifacts" (at the bottom).