Computer solutions of state-dependent delay differential equations

DOI10.1016/0898-1221(94)90053-1zbMath0792.65049OpenAlexW2054846605WikidataQ127860143 ScholiaQ127860143MaRDI QIDQ1324324

Abderrazek Karoui, Rémi Vaillancourt

Publication date: 18 July 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90053-1

zbMATH Keywords

state-dependent delay differential equationsderivative jump discontinuitiesdivided-difference Newton backward interpolationRunge-Kutta-Verner (5,6) formula pair

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items (3)

A numerical method for vanishing-lag delay differential equations ⋮ Validated integration of differential equations with state-dependent delay ⋮ Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff DDE solver of order 4 to 14

Cites Work

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• Stepsize control for delay differential equations using continuously imbedded Runge-Kutta methods of Sarafyan
• Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method
• Numerical treatment of delay differential equations by Hermite interpolation
• Characterization of jump discontinuities for state dependent delay differential equations
• High Order Methods for State-Dependent Delay Differential Equations with Nonsmooth Solutions
• Control of Interpolatory Error in Retarded Differential Equations

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