Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638670 | Journal of Computational and Applied Mathematics | 2014 | 14 Pages |
Abstract
This paper deals with a monotone alternating direction (ADI) scheme for solving nonlinear singularly perturbed parabolic problems. Monotone sequences, based on the method of upper and lower solutions, are constructed for a nonlinear difference scheme which approximates the nonlinear parabolic problem. The monotone sequences possess quadratic convergence rate. An analysis of uniform convergence of the monotone ADI scheme to the solutions of the nonlinear difference scheme and to the continuous problem is given. Numerical experiments are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Igor Boglaev,