Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634440 | Applied Mathematics and Computation | 2008 | 13 Pages |
Abstract
In the present paper, numerical methods are developed to approximate the solutions of some evolutionary nonlinear problems. The continuous problems are transformed into some Lyapunov type equations and then analysed for existence, uniqueness, convergence, stability and error estimates. The main idea consists in applying Fourier analysis and Von Neumann criterion acting translation and scaling parameter methods to obtain contractive operators leading to fixed point theory.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Anouar Ben Mabrouk, Mekki Ayadi,