Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations

DOI10.1137/12088238XzbMath1277.65117MaRDI QIDQ2855107

Zhanwen Yang, Hermann Brunner

Publication date: 24 October 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

collocation methodsadaptive step-sizenonlinear Volterra integral equationsfinite-time blow-upconvergence of numerical blow-up time

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Singular nonlinear integral equations (45G05)

Related Items (9)

Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations ⋮ A numerical algorithm for blow-up problems revisited ⋮ The series expansions and blow-up time estimation for the solutions of convolution Volterra-Hammerstein integral equations ⋮ A numerical scheme for the blow-up time of solutions of a system of nonlinear ordinary differential equations ⋮ Analysis of blow-up behavior of solutions to CVIEs ⋮ Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations ⋮ Non-Lipschitz Homogeneous Volterra Integral Equations ⋮ On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations ⋮ Numerical detection of blow-up: a new sufficient condition for blow-up

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