Affiliation:
1. Saratov State University
Abstract
A new method is proposed for obtaining a generalized solution of a mixed boundary value problem for a parabolic equation with boundary conditions of the third kind and a continuous initial condition. Generalized functions are understood in the sense of the sequential approach. As an intermediate approximation, a modified sinc-approximation operator is used. The solution is obtained in the form of a series uniformly converging inside the solution domain.
Publisher
The Russian Academy of Sciences