计算颂歌"no method matching Float64(::Num)"的 RHS 时出错

Question

我有一些代码使用函数来计算浓度的一些变化，但我得到了一个错误：

ERROR: LoadError: MethodError: no method matching Float64(::Num)
Closest candidates are:
(::Type{T})(::Real, ::RoundingMode) where T<:AbstractFloat at rounding.jl:200
(::Type{T})(::T) where T<:Number at boot.jl:760
(::Type{T})(::AbstractChar) where T<:Union{AbstractChar, Number} at char.jl:50

我在下面附上了MWE。该代码初始化一些参数，并使用初始化的参数来计算额外的参数(Ke和kb(，然后将这些参数输入到我的函数oderhs(c,Ke,kb,aw,aw²,aw³,ρζ,ρζ²,ρζ³,γ,γ²)中，该函数应该返回dc，这是我需要的解向量。

using DifferentialEquations
@parameters t c0[1:4] Ke[1:2] kb[1:2] aw aw² aw³ ρ ζ ρζ ρζ² γ γ² T
# Calculate parameters
ρ = 0.592
ζ = 1.0
ρζ  = ρ*ζ
ρζ² = ρζ*ρζ
ρζ³ = ρζ*ρζ²
aw = 0.995
aw² = aw*aw
aw³ = aw*aw²
γ = 1.08
γ² = γ*γ
T = 590.0
# calculate equilibrium constants
Ke[01] = (1.0E-06)*10.0^(-4.098 + (-3245.2/T) + (2.2362E+05/(T^2)) + (-3.9984E+07/(T^3)) + (log10(ρ) * (13.957 + (-1262.3/T) + (8.5641E+05/(T^2)))) )
Ke[02] = 10^(28.6059+0.012078*T+(1573.21/T)-13.2258*log10(T))
# calculate backward rate constants
kb[01] = Ke[01]*ρζ²/γ²
kb[02] = Ke[02]*γ/ρζ

# set initial concentrations
c0 = [0.09897, 0.01186, 2.94e-5, 4.17e-8]
function oderhs(c,Ke,kb,aw,aw²,aw³,ρζ,ρζ²,ρζ³,γ,γ²)
# rename c to their corresponding species
H₃BO₃   = c[1]; H₄BO₄⁻ = c[2]; OH⁻ = c[3]; H⁺ = c[4];
# rename Ke to their corresponding reactions
Ke_iw1 = Ke[1]; Ke_ba1 = Ke[2];
# rename kb to their corresponding reactions
kb_iw1 = kb[1]; kb_ba1 = kb[2];
# determine the rate of reaction for each reaction
r_iw1 = kb_iw1*(H⁺*OH⁻ - Ke_iw1*ρζ²*aw/γ²)
r_ba1 = kb_ba1*(H₄BO₄⁻ - H₃BO₃*OH⁻*Ke_ba1*γ/ρζ)
dc = zeros(eltype(c),4)
# calculate the change in species concentration
dc[1] = r_ba1
dc[2] = r_ba1
dc[3] = r_iw1 + r_ba1
dc[4] = r_iw1

return dc
end
dc = oderhs(c0,Ke,kb,aw,aw²,aw³,ρζ,ρζ²,ρζ³,γ,γ²)

Answer 1

zeros(eltype(c),4)创建一个Float64数组，这不是您想要的，因为您正试图创建ODE方程的符号版本(对吧？否则这就没有意义了(。因此，您希望这与zeros(Num,4)类似，这样返回的是符号方程，然后您可以从ModelingToolkit.jlODESystem生成DifferentialEquations.jsl的实际代码。