On the stable difference scheme for source identification nonlocal elliptic problem |
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Authors: | Charyyar Ashyralyyev |
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Institution: | Department of Mathematics, Bahcesehir University, Istanbul, Turkey |
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Abstract: | Approximation of source identification problem for elliptic equation with integral-type nonlocal condition is discussed. The first order of accuracy difference scheme for elliptic nonlocal identification problem is studied. By using spectral resolution of a self-adjoint operator, we establish stability inequalities for solution of constructed scheme. Subsequently, the difference scheme for approximate solution of multidimensional boundary value problem with integral-type nonlocal and first kind boundary conditions is investigated on stability. Numerical test examples are presented. |
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Keywords: | difference scheme inverse problem source identification problem stability estimates |
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