Error analysis of modified Runge-Kutta-Nyström methods for nonlinear second-order delay boundary value problems

DOI10.1016/j.aml.2023.108658zbMath1521.65066OpenAlexW4327571612MaRDI QIDQ6112027

Changyang Tang, Cheng-Jian Zhang, Siyi Wang

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108658

zbMATH Keywords

error analysissecond-order boundary value problemstime-variable delaymodified Runge-Kutta-Nyström methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary value problems for functional-differential equations (34K10)

Cites Work

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• The extended generalized Störmer-Cowell methods for second-order delay boundary value problems
• Diagonal implicit symplectic extended RKN methods for solving oscillatory Hamiltonian systems
• Stability analysis of Runge-Kutta methods for systems of delay differential equations

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