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

DOI10.1016/j.cam.2008.03.026zbMath1165.65086OpenAlexW2024736292MaRDI QIDQ1019661

J. Martínez

Publication date: 4 June 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.03.026

zbMATH Keywords

asymptoticsnumerical examplesblow-upcollocation methodspower nonlinearitykernel of Abel-kindnonlinear Volterra integral equations (VIEs)

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Asymptotics of solutions to integral equations (45M05) Singular nonlinear integral equations (45G05)

Related Items (6)

Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations ⋮ The series expansions and blow-up time estimation for the solutions of convolution Volterra-Hammerstein integral equations ⋮ A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel ⋮ Blow-up behavior of Hammerstein-type Volterra integral equations ⋮ Analysis of blow-up behavior of solutions to CVIEs ⋮ On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation

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