Numerical solution of nonlocal elliptic problems

In the present paper, the second order of accuracy two-step difference scheme for the approximate solution of the nonlocal boundary value problem for the elliptic differential equation in an arbitrary Banach space with the positive operator is investigated. The well-posedness of this difference scheme in various Banach spaces is established. In applications, some illustrative numerical results are provided. © 2018 Author(s).

Authors
Ashyralyev A. 1, 2, 3 , Hamad A.1, 4
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/1.5049075
Number
020081
Volume
1997
Year
2018
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Moscow, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, Omar Al-Mukhtar University, El-Beida, Libyan Arab Jamahiriya
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6474/
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