Variable multistep methods for delay differential equations

DOI10.1016/S0895-7177(01)00162-5zbMath1003.65092OpenAlexW2062193113MaRDI QIDQ1609462

R. Smith

Publication date: 15 August 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00162-5

zbMATH Keywords

convergenceerror boundsdelay differential equationsvariable stepsizemultistep method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (4)

Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays ⋮ Variable multistep methods for higher-order delay differential equations. ⋮ Lucas polynomial solution of nonlinear differential equations with variable delays ⋮ Legendre wavelet solution of high order nonlinear ordinary delay differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of multistep-methods on variable grids
• Explicit solution of systems of second-order differential-difference equations
• Analytical solution of a class of coupled second order differential-difference equations
• A three stage population model with cannibalism
• Ordinary and delay differential equations
• Computable explicit bounds for the discretization error of variable stepsize multistep methods
• Linear multistep matrix methods for a class of functional-differential equations: Convergence and error bounds
• On the numerical integration of a symmetric system of difference- differential equations of neutral type
• A time-delay model of single-species growth with stage structure
• Solving Ordinary Differential Equations I
• Competition in Populations Consisting of One Age Group
• The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods
• Construction of Variable-Stepsize Multistep Formulas
• The Effect of Variable Mesh Size on the Stability of Multistep Methods
• Stability and Convergence of Variable Order Multistep Methods
• Algorithms for Changing the Step Size
• A NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATION OF GROWTH

This page was built for publication: Variable multistep methods for delay differential equations