Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space

DOI10.1016/j.cam.2009.10.026zbMath1202.65103OpenAlexW1983404831MaRDI QIDQ847222

Liping Wen, Wan-Sheng Wang, Shou-fu Li

Publication date: 12 February 2010

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.2009.10.026

zbMATH Keywords

numerical experimentsBanach spacenumerical stabilitylinear multistep methodsstepsize controlnonlinear neutral delay differential equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Second-order parabolic systems (35K40) Numerical methods for functional-differential equations (65L03)

Related Items (8)

Solving semi-linear stiff neutral equations by implicit–explicit Runge-Kutta methods ⋮ Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space ⋮ \(L_p\) stabilization of positive neural networks with multiple time-varying delays ⋮ Numerical radius for the asymptotic stability of delay differential equations ⋮ The analytic and numerical stability of stiff impulsive differential equations in Banach space ⋮ Extended block boundary value methods for neutral equations with piecewise constant argument ⋮ Implicit-explicit one-leg methods for nonlinear stiff neutral equations ⋮ A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument

Uses Software

• RODAS

Cites Work

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