Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods

DOI10.1016/j.matcom.2019.04.004OpenAlexW2938449298WikidataQ128025741 ScholiaQ128025741MaRDI QIDQ1997669

Xiaoqiang Yan, Cheng-Jian Zhang

Publication date: 2 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2019.04.004

zbMATH Keywords

convergenceglobal stabilityunique solvabilityblock boundary value methodsfunctional-differential and functional equations

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49Jxx) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Calculus of variations and optimal control; optimization (49-XX) Control problems involving ordinary differential equations (34Hxx)

Related Items (11)

Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods ⋮ Collocation boundary value methods for auto-convolution Volterra integral equations ⋮ Convergence and global stability analysis of fractional delay block boundary value methods for fractional differential equations with delay ⋮ Asymptotic stability of Runge-Kutta method for solving nonlinear functional differential-algebraic equations ⋮ Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods ⋮ Compact block boundary value methods for semi‐linear delay‐reaction–diffusion equations with algebraic constraints ⋮ The extended block generalized Störmer-Cowell methods for second-order nonlinear delay-differential-algebraic equations with index-1 ⋮ Block collocation boundary value solutions of the first-kind Volterra integral equations ⋮ Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments ⋮ Extended block boundary value methods for neutral equations with piecewise constant argument ⋮ Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Block boundary value methods for solving Volterra integral and integro-differential equations
• Boundary value methods for Volterra integral and integro-differential equations
• Block boundary value methods applied to functional differential equations with piecewise continuous arguments
• 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
• Stability analysis of one-leg methods for nonlinear functional differential and functional equations
• The adapted block boundary value methods for singular initial value problems
• Block boundary value methods for delay differential equations
• Stability analysis of nonlinear functional differential and functional equations
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Theory of functional differential equations. 2nd ed
• Stability analysis of numerical methods for systems of functional-differential and functional equations.
• Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives
• Stability of multistep Runge-Kutta methods for systems of functional-differential and functional equations.
• Stability analysis of numerical methods for systems of neutral delay-differential equations
• Convergence and stability of boundary value methods for ordinary differential equations
• Stability analysis of LMMs for systems of neutral multidelay-differential equations
• Runge-Kutta-collocation methods for systems of functional-differential and functional equations
• Stability analysis of block boundary value methods for the neutral differential equation with many delays
• A class of compact boundary value methods applied to semi-linear reaction-diffusion equations
• Stability analysis of Runge-Kutta methods for nonlinear functional differential and functional equations
• A note on compact finite difference method for reaction-diffusion equations with delay
• Asymptotic stability of Rosenbrock methods for systems of functional differential and functional equations
• Nonlinear stability of Runge-Kutta methods for neutral delay differential equations
• Stability analysis of block boundary value methods for neutral pantograph equation
• Stability analysis of extended block boundary value methods for linear neutral delay integro-differential equations
• Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations
• Convergence and Stability of Multistep Methods Solving Nonlinear Initial Value Problems
• Compact difference schemes for heat equation with Neumann boundary conditions
• 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

This page was built for publication: Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods