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WIP: Elasticity BVPs #119

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25 changes: 25 additions & 0 deletions lib/BVProblemLibrary/src/BVProblemLibrary.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -364,6 +364,29 @@ No analytical solution
"""
measles = BVProblem(measles_function!, measles_bc!, [0, 0, 0], tspan)

################### elastica ############################
function elastica_function!(du, u, p, t)
ψ = u[1]
ψ′ = u[2]
du[1] = ψ′
du[2] = p[1] * sin(ψ) - p[2] * cos(ψ)
du[3] = cos(ψ)
du[4] = sin(ψ)
end
function elastica_bc!(residual, u, p, t)
residual[1] = u[end][4]
residual[2] = u[end][2]
residual[3] = u[1][3]
residual[4] = u[1][4]
end

tspan = (0, 1)

@doc raw"""
TODO: add docs for elastica
"""
elastica = BVProblem(elastica_function!, elastica_bc!, [-10, 0.0], tspan)

# Linear BVP Example Problems
export prob_bvp_linear_1, prob_bvp_linear_2, prob_bvp_linear_3, prob_bvp_linear_4,
prob_bvp_linear_5,
Expand All @@ -383,4 +406,6 @@ export prob_bvp_nonlinear_1, prob_bvp_nonlinear_2, prob_bvp_nonlinear_3,

export flat_moon, flat_earth, flat_earth_drag, measles

export elastica #, bigon, gridshell

end # module BVProblemLibrary