Blowing up behavior for a class of nonlinear VIEs connected with parabolic PDEs

• Autores: F. Calabrò, Giovanni Capobianco
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 228, Nº 2, 2009 (Ejemplar dedicado a: Innovative methods for solving evolutionary problems), págs. 580-588
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.03.026
• Texto completo no disponible (Saber más ...)
• Resumen

  • We study the blowing-up behavior of solutions of a class of nonlinear integral equations of Volterra type that is connected with parabolic partial differential equations with concentrated nonlinearities. We present some analytic results and, in the case of the kernel of Abel-kind with power nonlinearity and fixed initial data, we give a numerical approximation by using one-point collocation methods.

    By means of the numerical simulations, we give the dependence of the blow-up time from the parameters of the equation.