Created
December 14, 2016 14:45
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Case 01 - Example of a system with custom type to be solved by DifferentialEquations.jl with wrong solution
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importall Base | |
import RecursiveArrayTools.recursivecopy! | |
using DifferentialEquations | |
type SimType{T} <: AbstractArray{T,1} | |
x::Array{T,1} | |
f1::T | |
end | |
function SimType{T}(::Type{T}, length::Int64) | |
return SimType{T}(zeros(length), T(0)) | |
end | |
function SimType{T}(S::SimType{T}) | |
return SimType(T, length(S.x)) | |
end | |
function SimType{T}(S::SimType{T}, dims::Dims) | |
return SimType(T, prod(dims)) | |
end | |
similar{T}(A::SimType{T}) = begin | |
R = SimType(A) | |
R.f1 = A.f1 | |
R | |
end | |
similar{T}(A::SimType{T}, ::Type{T}, dims::Dims) = begin | |
R = SimType(A, dims) | |
R.f1 = A.f1 | |
R | |
end | |
done(A::SimType, i::Int64) = done(A.x,i) | |
eachindex(A::SimType) = eachindex(A.x) | |
next(A::SimType, i::Int64) = next(A.x,i) | |
start(A::SimType) = start(A.x) | |
length(A::SimType) = length(A.x) | |
ndims(A::SimType) = ndims(A.x) | |
size(A::SimType) = size(A.x) | |
recursivecopy!(B::SimType, A::SimType) = begin | |
recursivecopy!(B.x, A.x) | |
B.f1 = A.f1 | |
end | |
getindex( A::SimType, i::Int...) = (A.x[i...]) | |
setindex!(A::SimType, x, i::Int...) = (A.x[i...] = x) | |
function f(t,u,du) | |
du[1] = -0.5*u[1] + u.f1 | |
du[2] = -0.5*u[2] | |
end | |
callback = @ode_callback begin | |
if t > 5 | |
u.f1 = 1.5 | |
end | |
@ode_savevalues | |
end | |
u0 = SimType{Float64}([10;10], 0.0) | |
prob = ODEProblem(f,u0,(0.0,10.0)) | |
sol = solve(prob,callback = callback, tstops = collect(0:0.5:10)) |
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