On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions

DOI10.1016/S0096-3003(98)10020-6zbMath0937.65084MaRDI QIDQ1294236

Ioannis Th. Famelis, George Papageorgiou

Publication date: 7 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsscalingretarded differential equationsdelay equationsphase lagcontinuous extensionsexplicit Runge-Kutta-Nyström methods

Mathematics Subject Classification ID

Related Items (7)

Block generalized Störmer-Cowell methods applied to second order nonlinear delay differential equations ⋮ A trigonometrically fitted intra-step block Falkner method for the direct integration of second-order delay differential equations with oscillatory solutions ⋮ The numerical method of successive interpolations for two-point boundary value problems with deviating argument ⋮ Implicit Runge-Kutta-Nystr ¨om Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay ⋮ About a numerical method of successive interpolations for two-point boundary value problems with deviating argument ⋮ Solving nonlinear second-order delay initial value problems via the adapted generalized Störmer-Cowell methods ⋮ Neural network solution of single-delay differential equations

Uses Software

• Mathematica
• Matlab

Cites Work

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• The collocation method of the numerical approximation of the periodic solutions of functional differential equations
• Theory of functional differential equations. 2nd ed
• Issues in the numerical solution of evolutionary delay differential equations
• Continuous Runge-Kutta(-Nyström) methods with reduced phase-errors
• Solving Ordinary Differential Equations I
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems
• Eine Runge-Kutta-Nyström-Formel 9-ter Ordnung mit Schrittweitenkontrolle für Differentialgleichungenx =f(t, x)
• Interpolating runge-kutta-nyström methods of high order
• High Phase-Lag-Order Runge--Kutta and Nyström Pairs

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