TY - GEN

T1 - Runge-Kutta methods for differential equations with distributed delays

AU - Eremin, A. S.

PY - 2019/7/24

Y1 - 2019/7/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85069956547&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/rungekutta-methods-differential-equations-distributed-delays

U2 - 10.1063/1.5114130

DO - 10.1063/1.5114130

M3 - Conference contribution

AN - SCOPUS:85069956547

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018

A2 - Simos, T.E.

A2 - Tsitouras, Ch.

PB - American Institute of Physics

T2 - 16th International Conference of Numerical Analysis and Applied Mathematics

Y2 - 13 September 2018 through 18 September 2018

ER -