The collocation method of the numerical approximation of the periodic solutions of functional differential equations

DOI10.1007/BF02252613zbMath0419.65050OpenAlexW140755905MaRDI QIDQ1132512

Alfredo Bellen

Publication date: 1979

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252613

zbMATH Keywords

collocation methodperiodic solutionsnumerical approximationperiodicity boundary conditionsnon-linear functional differential equationstrigonometric trial functions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Boundary value problems for functional-differential equations (34K10)

Related Items

Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution ⋮ An extended collocation method ⋮ Approximation of periodic solutions of linear differential-difference equations of neutral type by spline-collocation method ⋮ A second-order analytic solution for oscillatory wind-induced flow in an idealized shallow lake ⋮ An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations ⋮ On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions

Cites Work

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