TY - GEN
T1 - Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem
AU - Ashyralyyev, Charyyar
AU - Akyuz, Gulzipa
N1 - Publisher Copyright:
© 2021 American Institute of Physics Inc.. All rights reserved.
PY - 2021/3/2
Y1 - 2021/3/2
N2 - In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.
AB - In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.
KW - Difference schemes
KW - Elliptic problem
KW - High order approximation
KW - Multi-point
KW - Source identification problem
KW - Stability
UR - https://www.scopus.com/pages/publications/85102285318
U2 - 10.1063/5.0042231
DO - 10.1063/5.0042231
M3 - Conference contribution
AN - SCOPUS:85102285318
T3 - AIP Conference Proceedings
BT - 4th International Conference of Mathematical Sciences, ICMS 2020
A2 - Cakalli, Huseyin
A2 - Kocinac, Ljubisa D. R.
A2 - Ashyralyev, Allaberen
A2 - Harte, Robin
A2 - Dik, Mehmet
A2 - Canak, Ibrahim
A2 - Kandemir, Hacer Sengul
A2 - Tez, Mujgan
A2 - Gurtug, Ozay
A2 - Savas, Ekrem
A2 - Akay, Kadri Ulas
A2 - Uyaver, Sahin
A2 - Ashyralyyev, Charyyar
A2 - Sezer, Sefa Anil
A2 - Turkoglu, Arap Duran
A2 - Onvural, Oruc Raif
A2 - Sahin, Hakan
A2 - Ucgun, Filiz Cagatay
PB - American Institute of Physics Inc.
T2 - 4th International Conference of Mathematical Sciences, ICMS 2020
Y2 - 17 June 2020 through 21 June 2020
ER -