Adams methods for neutral functional differential equations |
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Authors: | Zdzisław Jackiewicz |
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Institution: | (1) Department of Mathematics and Statistics, University of South Carolina, 29208 Columbia, South Carolina, USA;(2) Present address: University of Gdask, Poland |
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Abstract: | Summary In this paper Adams type methods for the special case of neutral functional differential equations are examined. It is shown thatk-step methods maintain orderk+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. |
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Keywords: | AMS(MOS): 65L05 CR: 5 17 |
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