Linear multi-step methods for first kind first order volterra integro-differential equations

DOI10.1080/00207169408804339zbMath0828.65145OpenAlexW1978427555MaRDI QIDQ4844570

L. E. Garey, C. J. Gladwin

Publication date: 10 January 1996

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

Full work available at URL: https://doi.org/10.1080/00207169408804339

zbMATH Keywords

convergencenumerical exampleslinear multi-step methodsfirst kind first order Volterra integro- differential equations

Mathematics Subject Classification ID

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

Cites Work

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• Singular perturbation analysis of an integrodifferential equation modelling filament stretching
• Reducible quadrature methods for Volterra integral equations of the first kind
• Discretization of Volterra integral equations of the first kind. II
• Stability of numerical methods for Volterra integro-differential equations
• On the Instability of the BDF Formulas
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Multistep Methods for Solving Linear Volterra Integral Equations of the First Kind
• The solution of Volterra integral equations of the first kind using inverted differentiation formulae
• Singularly Perturbed Volterra Integral Equations
• Stability of quadrature rule methods for first kind volterra integral equations
• A Simple Approximation Method for Solving Volterra Integro-differential Equations of the First Kind
• Linear Multistep Methods for Volterra Integro-Differential Equations

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