Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods

DOI10.1016/j.cam.2020.112942OpenAlexW3021687329MaRDI QIDQ2178411

Xiaoqiang Yan, Cheng-Jian Zhang

Publication date: 11 May 2020

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

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112942

zbMATH Keywords

convergenceglobal stabilitynumerical approximationunique solvabilityblock boundary value methodsnonlinear hybrid system with distributed delay

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) 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)

Related Items

Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods, Convergence and global stability analysis of fractional delay block boundary value methods for fractional differential equations with delay, Linearized compact difference schemes applied to nonlinear variable coefficient parabolic equations with distributed delay, The extended block generalized Störmer-Cowell methods for second-order nonlinear delay-differential-algebraic equations with index-1, 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

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• Block boundary value methods for solving Volterra integral and integro-differential equations
• Boundary value methods for Volterra integral and integro-differential equations
• Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations
• The adapted block boundary value methods for singular initial value problems
• Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations
• Block boundary value methods for delay differential equations
• The extended one-leg methods for nonlinear neutral delay-integro-differential equations
• Implicit Runge-Kutta methods for second kind Volterra integral equations
• Delay effects on stability. A robust control approach
• Block boundary value methods for linear Hamiltonian systems
• Continuous Runge-Kutta methods for neutral Volterra integro-differential equations with delay
• Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
• Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives
• Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations
• High-order multistep methods for boundary value problems
• Convergence and stability of boundary value methods for ordinary differential equations
• Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods
• Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations
• A class of compact boundary value methods applied to semi-linear reaction-diffusion equations
• Legendre spectral collocation methods for Volterra delay-integro-differential equations
• Block-Boundary Value Methods for the Solution of Ordinary Differential Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• A Global Convergence Theorem for a Class of Parallel Continuous Explicit Runge–Kutta Methods and Vanishing Lag Delay Differential Equations
• General Linear Methods for Volterra Integro-differential Equations with Memory