How to use Shooting Method
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I'm very new to Matlab so ill try my best to explain the problem, please bare with me.
I have the following function
((x-c)^2)-B^2)(y''-(a^2)*y)=((2B^2)/((x-c)^2))*(y-(x-c)y')
, where -1<x<1, y=y(z), The eigenvalue c to be "guessed", B=constant.
Guessing the function y=1 at x=-1, I need to code a shooting method, for -1<x<1, where y satisfies the following boundary conditons:
At x=1: Aexp(-a)=y and [(1-c)-(B^2)/(1-c)]*(-aAexp(-a))=[(1-c)-(B^2)/(1-c)]y'
At x=-1 Aexp(-a)=y and [(-1-c)-(B^2)/(-1-c)]*(aAexp(-a))=[(-1-c)-(B^2)/(-1-c)]y'.
If the problem can't be done for B as a general constant it could be set for 0<B<1 or B=0.5, say.
I'm completely lost and don't have any idea how to get started, any help would be much appreciated.
Thanks.
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2019-1-29
2019-1-30
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