Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions

Mifodijus Sapagovas; Olga Štikonienė

doi:10.15388/NA.16.2.14107

Articles

Mifodijus Sapagovas

Vilnius University, Lithuania

Olga Štikonienė

Vilnius University, Lithuania

http://orcid.org/0000-0002-0302-3449

Published 2011-04-25

https://doi.org/10.15388/NA.16.2.14107

PDF

Keywords

elliptic equation
nonlocal integral conditions
finite-difference method
alternating-direction method
convergence of iterative method

How to Cite

Sapagovas, M. and Štikonienė, O. (2011) “Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions”, Nonlinear Analysis: Modelling and Control, 16(2), pp. 220–230. doi:10.15388/NA.16.2.14107.

Download Citation

Abstract

The present paper deals with a generalization of the alternating-direction implicit (ADI) method for the two-dimensional nonlinear Poisson equation in a rectangular domain with integral boundary condition in one coordinate direction. The analysis of results of computational experiments is presented.

PDF

Downloads

Download data is not yet available.

Most read articles by the same author(s)

Mifodijus Sapagovas, Regimantas Čiupaila, Kristina Jakubėlienė, Stasys Rutkauskas, A new eigenvalue problem for the difference operator with nonlocal conditions , Nonlinear Analysis: Modelling and Control: Vol. 24 No. 3 (2019): Nonlinear Analysis: Modelling and Control
Feliksas Ivanauskas, Valdas Laurinavičius, Mifodijus Sapagovas, Anatolij Neciporenko, Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor , Nonlinear Analysis: Modelling and Control: Vol. 22 No. 2 (2017): Nonlinear Analysis: Modelling and Control
Justina Jachimavičienė, Mifodijus Sapagovas, Artūras Štikonas, Olga Štikonienė, On the stability of explicit finite difference schemes for a pseudoparabolic equation with nonlocal conditions , Nonlinear Analysis: Modelling and Control: Vol. 19 No. 2 (2014): Nonlinear Analysis: Modelling and Control
Regimantas Čiupaila, Kristina Pupalaigė, Mifodijus Sapagovas, On the numerical solution for nonlinear elliptic equations with variable weight coefficients in an integral boundary conditions , Nonlinear Analysis: Modelling and Control: Vol. 26 No. 4 (2021): Nonlinear Analysis: Modelling and Control
Mifodijus Sapagovas, Viktorija Griškonienė, Olga Štikonienė, Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition , Nonlinear Analysis: Modelling and Control: Vol. 22 No. 4 (2017): Nonlinear Analysis: Modelling and Control
Olga Štikonienė, Mifodijus Sapagovas, Regimantas Čiupaila, On iterative methods for some elliptic equations with nonlocal conditions , Nonlinear Analysis: Modelling and Control: Vol. 19 No. 3 (2014): Nonlinear Analysis: Modelling and Control
Mifodijus Sapagovas, Kristina Jakubėlienė, Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition , Nonlinear Analysis: Modelling and Control: Vol. 17 No. 1 (2012): Nonlinear Analysis: Modelling and Control
Regimantas Čiupaila, Mifodijus Sapagovas, Olga Štikonienė, Numerical solution of nonlinear elliptic equation with nonlocal condition , Nonlinear Analysis: Modelling and Control: Vol. 18 No. 4 (2013): Nonlinear Analysis: Modelling and Control
Mifodijus Sapagovas, Jurij Novickij, On stability in the maximum norm of difference scheme for nonlinear parabolic equation with nonlocal condition , Nonlinear Analysis: Modelling and Control: Vol. 28 No. 2 (2023): Nonlinear Analysis: Modelling and Control
Mifodijus Sapagovas, Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition , Nonlinear Analysis: Modelling and Control: Vol. 7 No. 1 (2002): Nonlinear Analysis: Modelling and Control

1 2 > >>