On the absolute stable difference scheme for the space-wise dependent source identification problem for elliptic-telegraph equation
Ashyralyev A. Al-Hammouri A. Ashyralyyev C.
March 2021John Wiley and Sons Inc
Numerical Methods for Partial Differential Equations
2021#37Issue 2962 - 986 pp.
The present paper is devoted to study the first order of accuracy absolute stable difference scheme for the approximate solution of the space identification problem for the elliptic-telegraph equation in Hilbert spaces with the self-adjoint positive definite operator. The main theorem on the stability of the difference scheme is established. In applications, theorems on the stability of difference schemes for two types of the space identification problems for multidimensional elliptic-telegraph partial differential equations are proved. Numerical analysis is provided.
difference scheme , elliptic-telegraph equation , identification problem , stability
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Department of Mathematics, Near East University, Nicosia, Mersin, Turkey
Peoples Friendship University of Russia, RUDN University, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematical Engineering, Gumushane University, Gumushane, Turkey
Department of Mathematics
Peoples Friendship University of Russia
Institute of Mathematics and Mathematical Modeling
Department of Mathematical Engineering
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