NUMERICAL SOLUTION OF VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS WHICH MAY HAVE A BOUNDARY SINGULARITY-Reference-Cited by-同舟云学术

NUMERICAL SOLUTION OF VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS WHICH MAY HAVE A BOUNDARY SINGULARITY

Published:2009-03-31 Issue:1 Volume:14 Page:79-89
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Kolk Marek¹,Pedas Arvet¹

Affiliation:

1. Institute of Mathematics, University of Tartu J. Liivi 2, 50409 Tartu, Estonia

Abstract

We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with kernels which, in addition to a weak diagonal singularity, may have a weak boundary singularity. Global convergence estimates are derived and a collection of numerical results is given.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference17 articles.

1. The Numerical Solution of Integral Equations of the Second Kind

2. A new approach to the numerical solution of weakly singular Volterra integral equations

3. Collocation Methods for Volterra Integral and Related Functional Differential Equations

4. The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations

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