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Integral equation with endpoint singularity

  1. Jun 15, 2011 #1
    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
  2. jcsd
  3. Jun 16, 2011 #2


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    Which numerical algorithm are you using? Most will quite happily handle end-point singularities.
  4. Jun 16, 2011 #3
    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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