Delay-dependent stability analysis of symmetric boundary value methods for linear delay integro-differential equations

DOI10.1007/s11075-013-9698-7zbMath1286.65189OpenAlexW2013322650MaRDI QIDQ393758

Yang Xu, Yan Fan, Jingjun Zhao

Publication date: 24 January 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9698-7

zbMATH Keywords

asymptotical stabilitytrapezoidal ruleB-spline approximationboundary value methoddelay integro-differential equationintegro-ordinary differential equationmultistep difference methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Linear integral equations (45A05)

Related Items (13)

Weak delay-dependent stability of Runge-Kutta methods for differential systems with distributed delays ⋮ Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation ⋮ Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay ⋮ Stability of Symmetric Runge--Kutta Methods for Neutral Delay Integro-Differential Equations ⋮ Block collocation boundary value solutions of the first-kind Volterra integral equations ⋮ Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs ⋮ Delay-dependent stability of linear multistep methods for DAEs with multiple delays ⋮ An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters ⋮ A finite-difference method for a singularly perturbed delay integro-differential equation ⋮ Delay-dependent stability of linear multistep methods for differential systems with distributed delays ⋮ Fully discretized methods based on boundary value methods for solving diffusion equations ⋮ Unnamed Item ⋮ Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters

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