Iterative Collocation Method for Solving a class of Nonlinear Weakly Singular Volterra Integral Equations

TitleIterative Collocation Method for Solving a class of Nonlinear Weakly Singular Volterra Integral Equations
Publication TypeJournal Article
Year of Publication2021
AuthorsKherchouche, K, Bellour, A, Lima, P
JournalDolomites Research Notes on Approximation
Volume14
Issue1
Pagination33-41
Date Published04/2021
PublisherPadova University Press
Place PublishedPadova, IT
ISSN Number20356803
Abstract

In this paper, an iterative collocation method based on the use of Lagrange polynomials is developed for the numerical solution of a class of nonlinear weakly singular Volterra integral equations. The error analysis of the proposed numerical method is studied theoretically. Numerical illustrations confirm our theoretical analysis.

URLhttps://drna.padovauniversitypress.it/2021/1/4
DOI10.14658/pupj-ijse-2021-1-4