A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition

In the current work, two-dimensional source identification problem for the telegraph equation with Neumann boundary condition is investigated. The first order of accuracy absolute stable difference scheme to find the numerical solution of the two-dimensional identification problem for the telegraph equation with the second kind boundary condition is solved. A numerical example of the time-dependent source identification problem has been carried out to check the accuracy and effectiveness of the presented technique. © 2024 American Institute of Physics Inc.. All rights reserved.

Authors
Ashyralyev A. , Al-Hazaimeh H. , Ashyralyyev C.
Conference proceedings
AIP Conference Proceedings
Number of issue
1
Language
English
Status
Published
DOI
10.1063/5.0194741
Number
020020
Volume
3085
Year
2024
Organizations
  • 1 Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, Near East University, TRNC, Mersin 10, Nicosia, Turkey
  • 5 National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, 100174, Uzbekistan
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