This package intends to provide tools for analysing and solving second order linear ordinary differential equations.
pip install odelabsConsider the second order linear differential operator given by
,
where the functions are real and defined at the compact interval
, and mixed
boundary conditions of the form
obeying .
In general case,
>>> from odelabs import BoundaryCondition as BC
>>> lbc = BC(x=0, a=0, b=1, c=3) # Nonhomogeneous Neumann BC at x=0
>>> lbc
Boundary Condition: y'(0) = 3
>>> ubc = BC(x=1, a=1, b=0, c=0) # Homogeneous Dirichlet BC at x=1
>>> ubc
Boundary Condition: y(1) = 0
>>> poly = BC.fit_polynomial(lbc, ubc)
>>> poly
-3.0 + 3.0·x¹