Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642753 | Journal of Computational and Applied Mathematics | 2007 | 17 Pages |
Abstract
This paper is concerned with the error and stability analysis of the monotone method for numerical solutions of fourth-order semilinear elliptic boundary value problems. A comparison result among the various monotone sequences is given. The global error is analyzed, and some sufficient conditions are formulated to guarantee a geometric rate of convergence. The stability of the monotone method is proved. Some numerical results are presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuan-Ming Wang,