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Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions

Abstract In the paper the convergence of a finite difference scheme for two-dimensional nonlinear elliptic equation in the rectangular domain with the integral boundary condition is considered. The majorant is constructed for the error of the solution of the system of difference equations, and the e...

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Main Authors: Mifodijus Sapagovas, Olga Štikonienė, Kristina Jakubėlienė, Regimantas Čiupaila
Format: Artigo
Language:Inglês
Published: SpringerOpen 2019-05-01
Series:Boundary Value Problems
Subjects:
Elliptic equation
Integral boundary conditions
Convergence of finite-difference method
Eigenvalue problem
M-matrices
Online Access:http://link.springer.com/article/10.1186/s13661-019-1202-4
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