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2014 On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation
H. S. Mamba, M. Khumalo
Abstr. Appl. Anal. 2014(none): 1-7 (2014). DOI: 10.1155/2014/763160

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.

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H. S. Mamba. M. Khumalo. "On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/763160

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023036
MathSciNet: MR3293819
Digital Object Identifier: 10.1155/2014/763160

Rights: Copyright © 2014 Hindawi

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