On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:Hindawi LimitedJournal:Abstract and Applied Analysis, volume 2,014, pages 1-7 (issn: 1085-3375, eissn: 1687-0409,

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Authors: Mamba, H. S.; Khumalo, M.;

doi: 10.1155/2014/763160

On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation

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Abstract

We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear Volterra integral equation. We analyze the convergence of the collocation methods and the repeated trapezoidal rule. Numerical experiments are used to illustrate theoretical results.

Related Organizations

University of Johannesburg
South Africa

Keywords

Volterra integral equations, QA1-939, Numerical methods for integral equations, Mathematics

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