Integral equation with endpoint singularity

rplcs
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I am trying to solve this integral equation numerically. The kernel has a singularity at the endpoint 1. Any suggestions??

f(s) = \int_0^1 \frac{1+st}{(1-st)^3} f(t) dt
 
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rplcs said:
I am trying to solve this integral equation numerically. The kernel has a singularity at the endpoint 1. Any suggestions??

f(s) = \int_0^1 \frac{1+st}{(1-st)^3} f(t) dt
Which numerical algorithm are you using? Most will quite happily handle end-point singularities.
 
Hootenanny said:
Which numerical algorithm are you using? Most will quite happily handle end-point singularities.

I am looking at methods based on quadrature rules like Nystrom method. But the question is are these method applicable to this integral equation. Nystrom like methods are suitable for very specific singular kernels.

please suggest which method is suitable for this integral equation.
 

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