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

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.

Keywords

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