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- MakaleAçık Erişim2022Scopus SJRQ2On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem
Ashyralyyev, Charyyar
In this study, a source identification problem for elliptic differential equation with integral type non-local condition is discussed. The second order of accuracy difference scheme for elliptic non-local source identification problem is studied. Using spectral resolution of a self-adjoint operator, stability and coercive stability estimates for solution of difference scheme are established. Subsequently, difference scheme for an approximate solution of multi-dimensional boundary-value problem with integral type non-local and first kind boundary conditions is investigated for stability. Numerical results for 2D and 3D examples are illustrated.
AtıfScopus2WoS1OpenAlex2İncele
- MakaleAçık Erişim2021Scopus SJRQ3Crank-nicolson difference scheme for reverse parabolic nonlocal problem with integral and neumann boundary conditions
Ashyralyyev, Charyyar; G¨onenc¸, Ahmet
In this paper, we study Crank-Nicholson difference scheme for approximate solutions of parabolic nonlocal reverse problem with integral and Neumann boundary conditions. Stability estimates for its solution are established. Via Mathlab framework, we give numerical example with explanation on computer realization.
AtıfScopus5OpenAlex3İncele
