Math. Model. Nat. Phenom.
Volume 14, Number 5, 2019
Nonlocal and delay equations
|Number of page(s)||15|
|Published online||17 December 2019|
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: firstname.lastname@example.org
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.