New methods for solving boundary value problems for elliptical operators are developed. The original problems are reduced to systems of non-classical boundary integral equations of the first kind with smooth kernels as distinct from the classical singular boundary integral equations. Some approaches to the numerical solution of these systems on the base of combination of spline approximation and regularization methods are discussed. Numerical examples are provided.
Author(s):
Vatulyan Alexander OvanesovichDr. , Professor
Position: Head of Chair
Office: Institute of Mathematics, Mechanics and Computer Sciences Southern Federal University
Address: 344090, Russia, Rostov, Milchakov Street, 8-a
Phone Office: (863) 2975114
E-mail: vatulyan@math.rsu.ru
Kovalev O VOffice: Rostov State University
Address: Russia, Rostov, Rostov, Milchakov Street, 8-a
E-mail: kov@metod.ru
Soloviev Arcady NickolaevichPhD. , Associate Professor
Position: Associate Professor
Office: Don State Technical University
Address: 344010, Russia, Rostov-Don, sq. Gagarina 1
Phone Office: (863) 273 85 51
E-mail: soloviev@math.rsu.ru
