On a Method for Solving a Mixed Boundary Value Problem for a Parabolic Equation Using Modified Sinc-Approximation Operators

Author:

Trynin A. Yu.1

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

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