G. M. Vainikko, N. V. Lebedeva, I. K. Lifanov, “Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function”, Mat. Sb., 2002, Volume 193, Number 10,Pages <nobr>3

This article is cited in 8 papers

Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function

G. M. Vainikko^a, N. V. Lebedeva^b, I. K. Lifanov^b

^a Helsinki University of Technology
^b N.E. Zhukovsky Military Engineering Academy

Abstract: A version of the method of discrete vortices is proposed for the numerical integration of a singular and a hypersingular integral equation of the first kind on an interval in the case when the right-hand side of the equation contains a delta function.

UDC: 517

MSC: Primary 65R20; Secondary 76B10

Received: 10.01.2002 and 20.06.2002

DOI: 10.4213/sm683