Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations

R. Benítez and V.J. Bolós

Applied Mathematics and Computation, 2015, vol. 256, issue C, 754-768

Abstract: In this paper, collocation methods are used for detecting blow-up solutions of nonlinear homogeneous Volterra–Hammerstein integral equations. To do this, we introduce the concept of “blow-up collocation solution” and analyze numerically some blow-up time estimates using collocation methods in particular examples where previous results about existence and uniqueness can be applied. Finally, we discuss the relationships between necessary conditions for blow-up of collocation solutions and exact solutions.

Keywords: Nonlinear integral equations; Blow-up phenomena; Collocation methods; Nontrivial solutions (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:754-768

DOI: 10.1016/j.amc.2015.01.057

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