In this paper Adams type methods for the special case of neutral functional differential equations are examined. It is shown that k-step methods maintain order k+1 for sufficiently small step size in a sufficiently smooth situation. However, when these methods are applied to an equation with a "non-smooth" solution the order of convergence is only one. Some computational considerations are given and numerical experiments are presented.
- Subject Classifications: AMS(MOS): 65L05, CR: 5.17
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics