Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation

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Abstract

In this work we consider a nonlinear Volterra integral equation with weakly singular kernel. An asymptotic error expansion for the explicit Euler's method is obtained and this allows the use of certain extrapolation procedures. The performance of the extrapolation method is illustrated by several numerical examples.
Original languageUnknown
Title of host publicationAIP Conference Proceedings
EditorsT Simos, G Psihoyios, C Tsitouras
Place of Publication2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
PublisherAMER INST PHYSICS
Pages1175-1178
Volume1281
ISBN (Print)978-0-7354-0834-0
Publication statusPublished - 1 Jan 2010
EventInternational Conference on Numerical Analysis and Applied Mathematics -
Duration: 1 Jan 2010 → …

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics
Period1/01/10 → …

Cite this

Rebelo, M. S. D. J. (2010). Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation. In T. Simos, G. Psihoyios, & C. Tsitouras (Eds.), AIP Conference Proceedings (Vol. 1281, pp. 1175-1178). 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA: AMER INST PHYSICS.