This article is cited in 1 paper

In Middle Volga Mathematical Society

Spline-collocation technique for 2D weakly singular Volterra integral equations

A. N. Tynda

Penza State University

Abstract: The paper is dedicated to the numerical solution of 2D weakly singular Volterra integral equations with two different kernels. In order to weaken a singularity influence on the numerical computations we transform these equations in both cases into equivalent equations. The piecewise polynomial approximation of the exact solution is then applied. For numerical computing of weakly singular integrals we construct the special Gauss-type cubature formula based on a nonuniform grid.

Keywords: Volterra integral equations, weakly singular kernels,cubature formulas, spline-collocation technique.

UDC: 517.968

Received: 30.09.2008

Language: English