A discretization of Volterra integrals equations of the third kind with weakly singular kernels
- Pereverzev, Sergei V.
- Prößdorf, Siegfried
2010 Mathematics Subject Classification
- 65R20 45P05
- Third kind integral equations, piecewise constant approximation, Volterra equations, weakly singular kernels, adaptive discretization, ill--posed problems, discrepancy principle
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 Download Documents