Extended backward differentiation formulae in the numerical solution of general Volterra integro-differential equations
From MaRDI portal
Publication:1308504
DOI10.1007/BF02243829zbMath0786.65122OpenAlexW1588344851MaRDI QIDQ1308504
Publication date: 9 January 1994
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02243829
convergencenumerical resultscollocation methodserror boundnonlinear Volterra integro-differential equationsextended backward differentiation methods
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)
Related Items
A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Extended backward differentiation methods in the numerical solution of neutral Volterra integro-differential equations ⋮ Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind ⋮ The solution of infinitely ill-conditioned weakly-singular problems ⋮ Extended backward differentiation formulae in the numerical solution of general Volterra integro-differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Backward differentiation type formulas for Volterra integral equations of the second kind
- A block-by-block method for the numerical solution of Volterra delay integro-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
- Numerical solution of Volterra integral equation
- Convergence of a Block-by-Block Method for Nonlinear Volterra Integro-Differential Equations
- Hybrid Methods in the Numerical Solution of Volterra Integro-differential Equations
- A nonlinear singularly perturbed Volterra integrodifferential equation occurring in polymer rheology
- Collocation Methods for Nonlinear Volterra Integro-Differential Equations with Infinite Delay
- A Nonlinear Volterra Integrodifferential Equation Describing the Stretching of Polymeric Liquids
- On Volterra’s Population Equation
- Generalized Multistep Predictor-Corrector Methods
- Linear Multistep Methods for Volterra Integro-Differential Equations