Stability analysis of block boundary value methods for neutral pantograph equation

DOI10.1080/10236198.2012.733703zbMath1277.65063OpenAlexW2100149741MaRDI QIDQ2846802

Zheng Gao, Yang Xu, Jingjun Zhao

Publication date: 3 September 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.733703

zbMATH Keywords

stabilityconvergencenumerical examplesblock boundary value methodsneutral pantograph equation

Mathematics Subject Classification ID

Related Items (10)

Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods ⋮ Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2 ⋮ Block boundary value methods applied to functional differential equations with piecewise continuous arguments ⋮ Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods ⋮ The adapted block boundary value methods for singular initial value problems ⋮ Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments ⋮ Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods

Cites Work

• Unnamed Item
• Asymptotic stability of block boundary value methods for delay differential-algebraic equations
• Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations
• On neutral functional-differential equations with proportional delays
• Stability of a class of Runge--Kutta methods for a family of pantograph equations of neutral type
• Block boundary value methods for delay differential equations
• Stability of one-leg \(\theta \)-methods for nonlinear neutral differential equations with proportional delay
• Simultaneous equations models in applied search theory
• Asymptotic stability properties of \(\theta\)-methods for the pantograph equation
• Numerical investigation of the pantograph equation
• Nonlinear stability of Runge-Kutta methods applied to infinite-delay-differential equations
• Stability analysis of \(\theta\)-methods for neutral functional- differential equations
• Stability of Runge-Kutta methods for the generalized pantograph equation
• Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems
• On the generalized pantograph functional-differential equation
• Block-Boundary Value Methods for the Solution of Ordinary Differential Equations
• A Global Convergence Theorem for a Class of Parallel Continuous Explicit Runge–Kutta Methods and Vanishing Lag Delay Differential Equations

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