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arXiv · 1112.4658

Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations

Vicente J. Bolós·Rafael Benítez
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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.

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Vicente J. Bolós, Rafael Benítez. 2011-12-20. Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations. https://doi.org/10.1016/j.amc.2015.01.057

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