/
equation.jl
49 lines (38 loc) · 1.07 KB
/
equation.jl
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# ============================================================
# Neural & Universal Differential Equations
# ============================================================
export ube_dfdt, ube_dfdt!
"""
$(SIGNATURES)
Right-hand side of universal Boltzmann equation
# Arguments
* ``f``: particle distribution function in 1D formulation
* ``p``: M, τ, ann (network & parameters)
* ``t``: time span
"""
function ube_dfdt(f, p, t)
M, τ, ann = p
if ann[1] isa FnChain
df = (M - f) / τ + ann[1](M - f, ann[2])
elseif ann[1] isa Chain
df = (M - f) / τ + ann[1](M - f)
end
return df
end
"""
$(SIGNATURES)
Right-hand side of universal Boltzmann equation
# Arguments
* ``df``: derivatives of particle distribution function
* ``f``: particle distribution function in 1D formulation
* ``p``: M, τ, ann (network & parameters)
* ``t``: time span
"""
function ube_dfdt!(df, f, p, t)
M, τ, ann = p
if ann[1] isa FnChain
df .= (M - f) / τ + ann[1](M - f, ann[2])
elseif ann[1] isa Chain
df .= (M - f) / τ + ann[1](M - f)
end
end