- #1
wdlang
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i have a second order ordinary differential equation of f(x):
f''+(E-A(A+1)/x^2)f=0, where A is a positive integer, E is a real constant
the domain is [0, \infty).
the boundary condition is f(x=0)=0
since this is a linear equation, i only need to determine f up to a overall constant
how to do this numerically from the origin and outward?
we can prove that in the neighborhood of the origin, f is on the order of x^(A+1)
f''+(E-A(A+1)/x^2)f=0, where A is a positive integer, E is a real constant
the domain is [0, \infty).
the boundary condition is f(x=0)=0
since this is a linear equation, i only need to determine f up to a overall constant
how to do this numerically from the origin and outward?
we can prove that in the neighborhood of the origin, f is on the order of x^(A+1)