The second order of approximation two-step difference scheme for the numerical solution of a nonlocal boundary value problem for the elliptic differential equation-v ''(t)+Av(t)=f(t)(0 <= t <= T),v(0)=v(T)+phi,integral 0Tv(s)ds=psi 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.

Authors

Publisher

EDP Sciences

Number of issue

5

Language

English

Status

Published

Number

507

Volume

14

Year

2019

Organizations

^{1}Near East Univ, Dept Math, Mersin 10, Lefkosa, Turkey^{2}Peoples Friendship Univ Russia RUDN Univ, Ul Miklukho Maklaya 6, Moscow 117198, Russia^{3}Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan^{4}Near East Univ, Dept Math, Mersin 10, Nicosia, Turkey^{5}Omar Al Mukhtar Univ, Dept Math, El Beida, Libya

Keywords

Well-posedness; coercive stability; positive operators; difference scheme

Date of creation

10.02.2020

Date of change

10.02.2020