IJAM: Volume 38, No. 1 (2025)

DOI: 10.12732/ijam.v38i1.1

A NOTE ON THE SECOND ORDER OF

ACCURACY DIFFERENCE SCHEME

FOR THE ELLIPTIC-TELEGRAPH

IDENTIFICATION PROBLEM WITH

DIRICHLET BOUNDARY CONDITION

Ahmad Al-Hammouri 1 , Allaberen Ashyralyev 2,3,4

1 Department of Mathematics, College of Science and Technology

Irbid National University

Irbid, 21110, JORDAN

2 Department of Mathematics, Bahcesehir University

34353, Istanbul, TURKIYE

3 Peoples’Friendship University of Russia (RUDN University)

Ul Mikluko Maklaya 6, Moscow 117198, RUSSIAN FEDERATION

4 Institute of Mathematics and Mathematical Modeling

Almaty, 050010, KAZAKHSTAN

Abstract. In the present paper, the second-order of accuracy difference scheme (DS) for the approximate solution of a source identification problem (SIP)

for the multidimensional elliptic-telegraph equations is constructed. Theorem on stability estimates for the solution of this DS and second-order

difference derivatives is presented. Numerical results are given for the solutions of the one-dimensional SIP for the elliptic-telegraph equation.

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How to cite this paper?
DOI: 10.12732/ijam.v38i1.1
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2025
Volume: 38
Issue: 1

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