scholarly journals Numerical solution of nonlinear elliptic equation with nonlocal condition

2013 ◽  
Vol 18 (4) ◽  
pp. 412-426 ◽  
Author(s):  
Regimantas Čiupaila ◽  
Mifodijus Sapagovas ◽  
Olga Štikonienė
Keyword(s):  
Elliptic Equation ◽  
Nonlinear Elliptic Equation ◽  
Small Volume ◽  
Nonlocal Condition ◽  
Integral Condition ◽  
System Of Difference Equations ◽  
Differential Problem ◽  
Minimal Surface Equation ◽  
Nonlinear Elliptic ◽  
Nonlocal Integral Condition

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.

scholarly journals Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition

2017 ◽  
Vol 22 (4) ◽  
pp. 489-504 ◽  
Author(s):  
Mifodijus Sapagovas ◽  
◽  
Viktorija Griškonienė ◽  
Olga Štikonienė ◽  
◽  
...  
Keyword(s):  
Elliptic Equation ◽  
Numerical Investigation ◽  
Nonlinear Elliptic Equation ◽  
Integral Condition ◽  
Nonlinear Elliptic

Nonlinear Elliptic Equations in Strip-Like Domains

2012 ◽  
Vol 12 (4) ◽  
Author(s):  
Jaeyoung Byeon ◽  
Kazunaga Tanaka
Keyword(s):  
Elliptic Equation ◽  
Positive Solution ◽  
Bounded Domain ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equation ◽  
Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic

AbstractWe study the existence of a positive solution of a nonlinear elliptic equationwhere k ≥ 2 and D is a bounded domain domain in R

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