Prof.  Alexander  Fedotov
Kazan National Research Technical University named after A. N. Tupolev – KAI,  Russia

Title: Convergence of the quadrature-differences method for singular integro-differential equations on the interval

Abstract:

In this paper, we propose and justify the quadrature-differences method for the full linear singular integro-differential equations with the Cauchy kernel on the interval (−1,1). We consider equations of zero, positive and negative indices. It is shown that the method converges to an exact solution, and the error estimation depends on the sharpness of derivative approximations and on the smoothness of the coefficients and the right-hand side of the equation.

Keywords: singular integro-differential equations; quadrature-differences method

Biography:

Born in Kazan, USSR, 17.07.1954, Russian.

Graduated school in 1971 and math faculty of the Kazan state university in 1976. Till 1981 worked as a junior researcher in the same university.

1981-2000 tought math and programming in military school and academy.

Got PhD in Mathematical Analysis in 1990.

2000-2020 senior researcher in Mathematical research institute associated with Kazan state university.

Got Doctor of sciences degree in 2012.

2020-till now professor of the Kazan National Research Technical University named after A. N. Tupolev – KAI.