A Nyström interpolant for some weakly singular nonlinear Volterra integral equations

• Autores: Paola Baratella
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 237, Nº 1, 2013, págs. 542-555
• Idioma: inglés
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• Resumen

  • We consider a second kind weakly singular nonlinear Volterra�Hammerstein integral equation defined by a compact operator and derive a Nyström type interpolant of the solution based on Gauss�Radau nodes. We prove the convergence of the interpolant and derive convergence estimates. For equations with nonlinearity of algebraic kind, we improve the rate of convergence by using a smoothing transformation. Some numerical examples are given.