TY - GEN
T1 - Well-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem
AU - Ashyralyyev, Charyyar
N1 - Publisher Copyright:
© 2015 AIP Publishing LLC.
PY - 2015/9/18
Y1 - 2015/9/18
N2 - In the present paper, inverse elliptic problem with Neumann type overdetermination is discussed. A fourth order of accuracy difference scheme for the solution of this identification problem is presented. Stability, almost coercive stability and coercive inequalities for the solution of difference problem are obtained. In application, a fourth order approximation of the inverse problem for multidimensional elliptic equation with Neumann type overdetermination and Dirichlet boundary condition is studied.
AB - In the present paper, inverse elliptic problem with Neumann type overdetermination is discussed. A fourth order of accuracy difference scheme for the solution of this identification problem is presented. Stability, almost coercive stability and coercive inequalities for the solution of difference problem are obtained. In application, a fourth order approximation of the inverse problem for multidimensional elliptic equation with Neumann type overdetermination and Dirichlet boundary condition is studied.
KW - Almost coercive stability
KW - Coercive stability
KW - Difference scheme
KW - Identification problem
KW - Inverse elliptic problem
KW - Stability
UR - https://www.scopus.com/pages/publications/84984550418
U2 - 10.1063/1.4930433
DO - 10.1063/1.4930433
M3 - Conference contribution
AN - SCOPUS:84984550418
T3 - AIP Conference Proceedings
BT - Advancements in Mathematical Sciences
A2 - Lukashov, Alexey
A2 - Ashyralyev, Allaberen
A2 - Malkowsky, Eberhard
A2 - Basar, Feyzi
A2 - Malkowsky, Eberhard
A2 - Ashyralyev, Allaberen
PB - American Institute of Physics Inc.
T2 - International Conference on Advancements in Mathematical Sciences, AMS 2015
Y2 - 5 November 2015 through 7 November 2015
ER -