New versions of the collocation method for integral equations of the third kind with singularities in the kernel (Q656499)

The author considers integral equation of the third kind with fixed singularities in the kernel of the form \([(s+1)^{p}+(1-s)^{q}]^{-1}.\) To solve this equation approximately he uses the collocation method with a system of Bernstein polynomials and same of Hermite-Fejér polynomials. The approximate solution is obtained in an analytical form but not numerical.