Errors of linear multistep methods for singularly perturbed Volterra delay-integro-differential equations

DOI10.1016/j.matcom.2009.03.006zbMath1202.65182OpenAlexW2011705973MaRDI QIDQ2390415

Shifeng Wu, Si-qing Gan

Publication date: 22 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.03.006

zbMATH Keywords

errorsdelay equationintegro-differential equationfunctional differential equationlinear multistep methodsingularly perturbed

Mathematics Subject Classification ID

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 (11)

Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation ⋮ The linear barycentric rational method for a class of delay Volterra integro-differential equations ⋮ Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid ⋮ Multiple positive solutions of singular nonlinear Sturm-Liouville problems with Carathéodory perturbed term ⋮ Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay ⋮ Numerical solution of delay integro‐differential equations by using Taylor collocation method ⋮ Numerical solution of a singularly perturbed Volterra integro-differential equation ⋮ A finite-difference method for a singularly perturbed delay integro-differential equation ⋮ Numerical Solution of Second-Order Linear Delay Differential and Integro-Differential Equations by Using Taylor Collocation Method ⋮ Unnamed Item ⋮ Dissipativity ofθ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays

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