Collocation methods for weakly singular volterra integral equations with vanishing delays

Bai, Fan (2011) Collocation methods for weakly singular volterra integral equations with vanishing delays. Masters thesis, Memorial University of Newfoundland.

[img] [English] PDF - Accepted Version
Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.

Download (19Mb)

Abstract

We will present results on the representation and the regularity of exact solution for the Volterra integral equations with singular kernels and vanishing delays. We then use the collocation method to approximate the solutions for the Volterra integral equations. It is then shown the global order of convergence of the collocation solutions. Our theoretical results are confirmed in a series of numerical tests.

Item Type: Thesis (Masters)
URI: http://research.library.mun.ca/id/eprint/10119
Item ID: 10119
Additional Information: Includes bibliographical references (leaves 95).
Department(s): Science, Faculty of > Mathematics and Statistics
Date: 2011
Date Type: Submission
Library of Congress Subject Heading: Volterra equations--Numerical solutions; Collocation methods; Integral equations; Functional analysis.

Actions (login required)

View Item View Item

Downloads

Downloads per month over the past year

View more statistics