ONE-STEP METHODS OF ANY ORDER FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS.

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46 Scopus citations

Abstract

A new class of one-step methods for the numerical solution of neutral functional differential equations is considered. These methods can be taken to have arbitrarily high order. This should be compared with other one-step methods, such as those of Tavernini, for which the obvious modifications to neutral functional differential equations leads only to methods of order one.

Original languageEnglish (US)
Pages (from-to)486-511
Number of pages26
JournalSIAM Journal on Numerical Analysis
Volume21
Issue number3
DOIs
StatePublished - Jan 1 1984
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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