Numerical solution and stability of multistep method for solving delay differential equations

DOI10.1007/s13160-010-0017-6zbMath1213.65101OpenAlexW1984788724MaRDI QIDQ541763

Fuziyah Ishak, Mohamed Bin Suleiman

Publication date: 8 June 2011

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-010-0017-6

zbMATH Keywords

delay differential equationsmultistep methodsstability regionspredictor-correctorvariable order variable stepsize

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for functional-differential equations (65L03)

Uses Software

• dde23

Cites Work

• Unnamed Item
• Unnamed Item
• Variable-step variable-order algorithm for the numerical solution of neutral functional differential equations
• Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
• Stability properties of numerical methods for solving delay differential equations
• Numerical solution of neutral functional differential equations by Adams methods in divided difference form
• The numerical solution of neutral functional differential equations by Adams predictor-corrector methods
• Ordinary and delay differential equations
• Solving delay differential equations using componentwise partitioning by Runge-Kutta method
• Linear multistep methods for a class of functional differential equations
• Special stability problems for functional differential equations
• Stability of Multistep Methods for Delay Differential Equations
• Solving DDEs in Matlab