A collocation method for boundary value problems of differential equations with functional arguments

DOI10.1007/BF02243775zbMath0529.65053OpenAlexW1533456237MaRDI QIDQ787654

Alfredo Bellen, Marino Zennaro

Publication date: 1984

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02243775

zbMATH Keywords

rate of convergencenumerical experimentscollocationfunctional argumentspiecewise polynomial functions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary value problems for functional-differential equations (34K10)

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A PERTURBATION-INCREMENTAL METHOD FOR DELAY DIFFERENTIAL EQUATIONS ⋮ Error analysis of modified Runge-Kutta-Nyström methods for nonlinear second-order delay boundary value problems ⋮ Piecewise orthogonal collocation for computing periodic solutions of renewal equations ⋮ Convergence Analysis of Collocation Methods for Computing Periodic Solutions of Retarded Functional Differential Equations ⋮ The extended generalized Störmer-Cowell methods for second-order delay boundary value problems ⋮ Integral operators and delay differential equations ⋮ Boundary value problems for systems of functional differential equations. ⋮ An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations ⋮ A new superconvergent method for systems of nonlinear singular boundary value problems ⋮ One-step collocation for delay differential equations ⋮ Numerical methods for discontinuous linear boundary value problems with deviation arguments

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