求解非均匀网格上的二阶边值方程

Question

I have an equation of the form

y'' + a(x) y' + b(x) y = f(x) y(0) = y(1) = 1

where x is non-uniformly spaced.

How can I solve this type of second-order boundary value problem in python?

Answer 1

Are you searching for the family of functions [ y _x (t) ] where t is the variable on which you derive y ?

Are your boundary conditions true for all x?

You might want to look at http://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.ode.html