Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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 language | English |
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Title of host publication | International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018 |
Editors | T.E. Simos, Ch. Tsitouras |
Publisher | American Institute of Physics |
ISBN (Electronic) | 9780735418547 |
DOIs | |
State | Published - 24 Jul 2019 |
Event | 16th International Conference of Numerical Analysis and Applied Mathematics - Rhodos, Greece Duration: 13 Sep 2018 → 18 Sep 2018 |
Name | AIP Conference Proceedings |
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Number | 1 |
Volume | 2116 |
ISSN (Print) | 0094-243X |
ISSN (Electronic) | 1551-7616 |
Conference | 16th International Conference of Numerical Analysis and Applied Mathematics |
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Abbreviated title | ICNAAM 2018 |
Country/Territory | Greece |
City | Rhodos |
Period | 13/09/18 → 18/09/18 |
ID: 45105778