Stable difference scheme for the numerical solution of the source identification problem for hyperbolic equations

  • Allaberen Ashyralyev Bahcesehir University, Istanbul, Turkey and Institute of Mathematics and Mathematical Modelling, Almaty, Kazakhstan
  • Fathi Emharab Omar Al-Mukhtar University, El-Beida, Libyan Arab Jamahiriya
Keywords: Source identification problem, well-posedness, hyperbolic differential equations, difference scheme

Abstract

UDC 517.9

We present a stable  difference scheme of the second order of accuracy  for a one-dimensional hyperbolic equation. The well-posedness of the difference scheme is established. Numerical results are presented.

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Published
02.06.2024
How to Cite
Ashyralyev, A., and F. Emharab. “Stable Difference Scheme for the Numerical Solution of the Source Identification Problem for Hyperbolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 76, no. 5, June 2024, pp. 647 -63, doi:10.3842/umzh.v76i5.7407.
Section
Research articles