Work

A stable difference scheme for the solution of a source identification problem for telegraph-parabolic equations

Year: 2024

Type: article

Abstract: In the present paper, we construct a first order of accuracy difference scheme for the approximate solution of the inverse problem for telegraph-parabolic equations with an unknown spacewise dependent source term. The unique solvability of constructed difference scheme and the stability estimates for its solution were obtained. The proofs are based on the spectral representation of the self-adjoint positive definite operator in a Hilbert space.

Source: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

DOI: 10.31489/2024m3/46-54

Authors: M. Ashyraliyev, M.A. Ashyralyyeva

Institutions: Mälardalen University, Magtymguly Turkmen State University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402995496

FWCI: 1.562

Cites:

Cited by: 2

Related to: 10