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Stability analysis of one-leg methods for nonlinear functional differential and functional equations
- Source :
-
Journal of Computational & Applied Mathematics . Dec2010, Vol. 235 Issue 3, p817-824. 8p. - Publication Year :
- 2010
-
Abstract
- Abstract: This paper is concerned with the numerical solution of nonlinear functional differential and functional equations. The adaptation of one-leg methods is considered. It is proved that an A-stable one-leg method is globally stable and a strongly A-stable one-leg method is asymptotically stable under suitable conditions. A numerical test is given to confirm the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 235
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 53419546
- Full Text :
- https://doi.org/10.1016/j.cam.2010.07.009