Numerical Solutions of Delay Differential Equations

Research output: Chapter in Book/Report/Conference proceedingChapter


In many application areas, one finds evolutionary problems with an after-effect whose numerical solution is based on the use of an integrator for ODEs combined with a suitable continuous extension. Our aim in this chapter is to survey numerical methods for solving DDEs and NDDEs based on modified ODE formulae. Special emphasis is given to continuous Runge-Kutta methods that have been used by the author. We describe, in brief, the theory of accuracy and some issues related to numerical solutions of DDEs and NDDEs.

Original languageEnglish
Title of host publicationForum for Interdisciplinary Mathematics
Number of pages27
Publication statusPublished - 2021

Publication series

NameForum for Interdisciplinary Mathematics
ISSN (Print)2364-6748
ISSN (Electronic)2364-6756

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Applied Mathematics


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