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

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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.

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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.

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