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Numerical Methods for Nonlinear Singular Volterra Integral Equations

Diogo, Teresa; Rebelo, Magda

AIP Conference Proceedings of International Conference of Numerical Analysis and Applied Mathematics ( ICNAAM 2012), 19-25 September-Kos, Greece, 1479 (2012), 226-229

This work is concerned with the numerical solution of two related nonlinear singular Volterra integral equations which arise in connection with a heat transfer problem. We consider product integration and collocation methods for both equations and several numerical results are presented illustrating the performance of these methods.