Yazarlar

  • MakaleAçık Erişim2022Scopus SJRQ2
    On 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.

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