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

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.

Lima P., Kherchouche K., Bellour A. (2021) "Iterative Collocation Method for Solving a class of Nonlinear Weakly Singular Volterra Integral Equations " Dolomites Research Notes on Approximation, 14(1), 33-41. DOI: 10.14658/PUPJ-DRNA-2021-1-4  
Year of Publication
2021
Journal
Dolomites Research Notes on Approximation
Volume
14
Issue Number
1
Start Page
33
Last Page
41
Date Published
04/2021
ISSN Number
2035-6803
Serial Article Number
4
DOI
10.14658/PUPJ-DRNA-2021-1-4
Issue
Section
Articles