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Boundary Value Problems


Hi,

I'd like to get a power series solution to the following differential equation:

 D[a[r],{r,2}] + (D[a[r],{r,1}])/r - 0.5 a[r] + (a[r])^3/(1+(a[r])^2) = 0

The boundary conditions are

a[0] = 2.5
a[Infinity] = 0

da |
-- |        = 0
dr | r = 0


da |
-- |            = 0
dr | r = Infinity

My attempts to solve this problem have been unsuccessful.


Any help will be most appreciated.


Sincerely,

Javid Atai
jav124 at rsphy3.anu.edu.au






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