A NOTE ON THE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR THE ELLIPTIC-TELEGRAPH IDENTIFICATION PROBLEM WITH DIRICHLET BOUNDARY CONDITION
Al-Hammouri A. Ashyralyev A.
2025Diogenes Co. Ltd.
International Journal of Applied Mathematics
2025#38Issue 11 - 13 pp.
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.
DS , elliptic-telegraph differential equation , SIP , stability
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Department of Mathematics, College of Science and Technology, Irbid National University, Irbid, 21110, Jordan
Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Peoples’ Friendship University of Russia (RUDN University), Ul Mikluko Maklaya 6, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics
Department of Mathematics
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
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