| Title |
On error estimation and convergence of the difference scheme for a nonlinear elliptic equation with an integral boundary condition / |
| Authors |
Čiupaila, Regimantas ; Sapagovas, Mifodijus ; Pupalaigė, Kristina ; Šaltenienė, Gailė Kamilė |
| DOI |
10.3390/math13050873 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2025, vol. 13, iss. 5, art. no. 873, p. 1-20.. ISSN 2227-7390 |
| Keywords [eng] |
nonlinear elliptic equation ; nonlocal boundary condition ; difference eigenvalue problem ; M-matrix ; construction of the majorant |
| Abstract [eng] |
In this paper, a two-dimensional nonlinear elliptic equation with an integral boundary condition depending on two parameters is investigated. The problem is solved using the finite difference method. The error in the solution is evaluated based on the properties of M-matrices, and herewith the convergence of the difference scheme is proved. The majorant is constructed to estimate the error of the solution of the system of difference equations. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2025 |
| CC license |
|
