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examples/collocation.jl

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@@ -4,7 +4,8 @@ using ClassicalOrthogonalPolynomials, OrdinaryDiffEq, Plots
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####
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# 1D Helmholtz w/ Dirichlet conditions
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#
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# We solve `u'' + 4^2*u = f`, `u(-1) = 1`, `u(1) = 2` with rectangular collocation. That is,
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# We solve `u'' + 4^2*u = f`, `u(-1) = 1`, `u(1) = 2` with rectangular collocation a la
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# [Hale & Driscoll](https://academic.oup.com/imajna/article-abstract/36/1/108/2363563). That is,
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# we discretise `u` at `n` second kind Chebyshev points (containing ±1)
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# but `f` at `n-2` first kind Chebyshev points (interior to [-1,1]).
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# The reduction in degrees of freedom allows us to impose boundary conditions.

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