Stability analysis of extended block boundary value methods for linear neutral delay integro-differential equations

DOI10.1080/00207160.2012.738812zbMath1278.65207OpenAlexW2087750436MaRDI QIDQ2852127

Zheng Gao, Yang Xu, Jingjun Zhao

Publication date: 8 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.738812

zbMATH Keywords

numerical experimentsasymptotic stabilityblock boundary value methodsdelay integro-differential equationsreducible quadrature rulesdelay differential-algebraic equations

Mathematics Subject Classification ID

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

Related Items (7)

Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods ⋮ An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations ⋮ Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2 ⋮ Delay-dependent stability of linear multistep methods for DAEs with multiple delays ⋮ Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods ⋮ An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters ⋮ Extended block boundary value methods for neutral equations with piecewise constant argument

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