Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations

DOI10.1016/S0362-546X(96)00341-0zbMath0891.65143OpenAlexW2082033520MaRDI QIDQ4377219

Athena Makroglou

Publication date: 3 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00341-0

zbMATH Keywords

collocation methodsnumerical comparisonsneutral Volterra integro-differential equationsAdams merhodsextended backward differentiation formula methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Uses Software

• MEBDF

Cites Work

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• The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
• The approximate solution of initial-value problems for general Volterra integro-differential equations
• Adams methods for neutral functional differential equations
• On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae
• Extended backward differentiation formulae in the numerical solution of general Volterra integro-differential equations
• One-Step Methods of any Order for Neutral Functional Differential Equations
• Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations
• The Numerical Solution of Volterra Functional Differential Equations of Neutral Type
• One step methods for the numerical solution of volterra functional differential equations of neutral type
• Numerical Methods for a Class of Singular Integro-Differential Equations Based on Semigroup Approximation
• Taylor Series Methods for the Solution of Volterra Integral and Integro-Differential Equations
• The Analysis of a Variable Step, Variable Coefficient Linear Multistep Method for Solving a Singular Integro–Differential Equation Arising from the Diffusion of Discrete Particles in a Turbulent Fluid

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