DOI

An attempt to construct fast Runge-Kutta methods for delay differential equations with distributed delays is made. As a starting point functional continuous methods for general retarded functional differential equations are considered. New explicit methods of order three and four are constructed, which are more effective than functional continuous Runge-Kutta methods of the same order. Numerical tests confirm the convergence order of the new methods. Comparison to closely related Runge-Kutta methods for Volterra integro-differential equations is made.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
EditorsT.E. Simos, Ch. Tsitouras
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735418547
DOIs
StatePublished - 24 Jul 2019
Event16th International Conference of Numerical Analysis and Applied Mathematics - Rhodos, Greece
Duration: 13 Sep 201818 Sep 2018

Publication series

NameAIP Conference Proceedings
Number1
Volume2116
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference16th International Conference of Numerical Analysis and Applied Mathematics
Abbreviated titleICNAAM 2018
Country/TerritoryGreece
CityRhodos
Period13/09/1818/09/18

    Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

ID: 45105778