WIAS Preprint No. 374, (1997)

A discretization of Volterra integrals equations of the third kind with weakly singular kernels



Authors

  • Pereverzev, Sergei V.
  • Prößdorf, Siegfried

2010 Mathematics Subject Classification

  • 65R20 45P05

Keywords

  • Third kind integral equations, piecewise constant approximation, Volterra equations, weakly singular kernels, adaptive discretization, ill--posed problems, discrepancy principle

Abstract

In this paper we propose a method of piecewise constant approximation for the solution of ill-posed third kind Volterra equations $$ p(t)z(t) + int_0^t frach(t,tau)(t-tau)^1-alphaz(tau) dtau = f(t),quad tin[0,1],enspace 0

Appeared in

  • J. Inverse and Ill-Posed Problems, 6 (1998), pp. 565-577

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