Numerical solution of nonlinear elliptic equation with nonlocal condition
Articles
Regimantas Čiupaila
Vilnius Gediminas Technical University, Lithuania
Mifodijus Sapagovas
Vilnius University, Lithuania
Olga Štikonienė
Vilnius University, Lithuania
http://orcid.org/0000-0002-0302-3449
Published 2013-10-25
https://doi.org/10.15388/NA.18.4.13970
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Keywords

minimal surface equation
nonlocal boundary condition
finite-difference method
iterative method

How to Cite

Čiupaila, R., Sapagovas, M. and Štikonienė, O. (2013) “Numerical solution of nonlinear elliptic equation with nonlocal condition”, Nonlinear Analysis: Modelling and Control, 18(4), pp. 412–426. doi:10.15388/NA.18.4.13970.

Abstract

Two iterative methods are considered for the system of difference equations approximating two-dimensional nonlinear elliptic equation with the nonlocal integral condition. Motivation and possible applications of the problem present in the paper coincide with the small volume problems in hydrodynamics. The differential problem considered in the article is some generalization of the boundary value problem for minimal surface equation.

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