Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff DDE solver of order 4 to 14

DOI10.1016/j.amc.2011.05.023zbMath1220.65086OpenAlexW2023675890MaRDI QIDQ555467

Hemza Yagoub, Rémi Vaillancourt, Truong Nguyen-Ba

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.023

zbMATH Keywords

numerical examplesdelay differential equationsstate dependent delayvanishing delaysmall delayvariable-stepnumber of function evaluationscomparing DDE solversHermite-Birkhoff-Obrechkoff methodmaximum relative errorvariable-order

Mathematics Subject Classification ID

Related Items (3)

Hermite-Birkhoff-Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size ⋮ HBO414DDE ⋮ Solving delay differential equations of small and vanishing lag using multistep block method

Uses Software

• Matlab
• SYSDEL
• ddesd

Cites Work

• Unnamed Item
• Numerical treatment of delay differential equations by Hermite interpolation
• The tracking of derivative discontinuities in systems of delay- differential equations
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Computer solutions of state-dependent delay differential equations
• A delay differential equation solver based on a continuous Runge-Kutta method with defect control
• Solving ODEs and DDEs with residual control
• Interpolating Runge-Kutta methods for vanishing delay differential equations
• A numerical method for vanishing-lag delay differential equations

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