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

Allaberen Ashyralyev; Fathi Emharab

doi:10.3842/umzh.v76i5.7407

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

DOI: https://doi.org/10.3842/umzh.v76i5.7407

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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