Math. Model. Nat. Phenom.
Volume 14, Number 5, 2019
Nonlocal and delay equations
|Number of page(s)||15|
|Published online||17 December 2019|
Well-posedness of a nonlocal boundary value difference elliptic problem★,★★
Department of Mathematics, Near East University,
Mersin 10, Turkey.
2 Peoples’ Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow 117198, Russia.
3 Institute of Mathematics and Mathematical Modeling, 050010 Almaty, Kazakhstan.
4 Department of Mathematics, Near East University, Nicosia, Mersin 10, Turkey.
5 Department of Mathematics, Omar Al-Mukhtar University, El-Beida, Libya.
*** Corresponding author: e-mail: email@example.com
Accepted: 27 November 2019
The second order of approximation two-step difference scheme for the numerical solution of a nonlocal boundary value problem for the elliptic differential equation in an arbitrary Banach space E with the positive operator A is presented. The well-posedness of the difference scheme in Banach spaces is established. In applications, the stability, almost coercive stability and coercive stability estimates in maximum norm in one variable for the solutions of difference schemes for numerical solution of two type elliptic problems are obtained.
Mathematics Subject Classification: 35J25 / 47E05 / 34B27
Key words: Well-posedness / coercive stability / positive operators / difference scheme
© EDP Sciences, 2019
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