Work

On Error Estimation and Convergence of the Difference Scheme for a Nonlinear Elliptic Equation with an Integral Boundary Condition

Year: 2025

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math13050873

Authors: Regimantas Čiupaila, Mifodijus Sapagovas, Kristina Pupalaigė, Gailė Kamilė Šaltenienė

Institutions: Vilnius Gediminas Technical University, Vilnius University, Kaunas University of Technology, Kaunas University of Applied Engineering Sciences

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4408219880

FWCI: 3.771

Cites: 53

Cited by: 3

Related to: 10