This package is a pseudospectral PDE solver for some speccific stiff equations.
When solving a PDE in pseudosepctral methods, it is quite common that it can be finally reduced to the form like this
where
This package is designed to be as compatible with the latest scipy as possible.
User can initialize the ODE with the customized class Linear and NonLinear of differential operators.
For example
from pdspectr.utils import stiff_solve_ivp
from pdspectr.pseudo_spectral import Linear, NonLinear
from pdspectr.ETDRK2 import ETDRK2
# region for periodic boudary condition
L = 60
T = 10
# initialize a linear operator of form -(d/dx)^3 q(x) phi(x) over L
L1 = Linear(-1, [(3, qsample)], L)
degrees1 = [(1, 2)]
# initialize a Nonlinear operotor of the form -3 * (d/dx) phi(x)^2
NL1 = NonLinear(-3, degrees1, L)
def A(t, phihat):
return L1(phihat)
def B(t, phihat):
return NL1(phihat)
sol = stiff_solve_ivp(A, B, [0, T], fhat, ETDRK2, max_step=dt)
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