Convergence of cubature-differences method for multidimensional singular integro-differential equations

A. I. Fedotov

Address.
Frunze 13-82, Kazan, 420033, RUSSIA
 

E-mail.   fedotov@mi.ru

Abstract.
Here we propose and justify the cubature-differences method for the multidimensional singular integro-differential equations with Hilbert kernel. The  convergence of the method is proved and the error estimate is obtained.

AMSclassification. 45E05, 45L05, 65R20.

Keywords.  Singular integro-differential equations, cubature-differences method.