Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10678553 | Applied Mathematics Letters | 2005 | 6 Pages |
Abstract
General two-dimensional autonomous dynamical systems and their standard numerical discretizations are considered. Nonstandard stability-preserving finite-difference schemes based on the explicit and implicit Euler and the second-order Runge-Kutta methods are designed and analyzed. Their elementary stability is established theoretically and is also supported by a numerical example.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Dobromir T. Dimitrov, Hristo V. Kojouharov,