Abstract
We consider a class of integral equations of Volterra type with constant coefficients containing a logarithmic difference kernel. This equation can be transformed into an equivalent singular equation of Cauchy type which allows us to give the explicit formula for the solution. The numerical method proposed in this paper consists of applying the Lagrange interpolation to the inner Cauchy type singular integral in the latter formula after subtracting the singularity. For the error of this method weighted norm estimates as well as estimates on discrete subsets of knots are given. The paper concludes with some numerical examples. © 1995 Rocky Mountain Mathematics Consortium.
Anno
1995
Autori IAC
Tipo pubblicazione
Altri Autori
Capobianco, Maria Rosaria
Editore
Rocky Mountain Mathematics Consortium,
Rivista
The Journal of integral equations and applications