Legendre-Gauss collocation methods for nonlinear neutral delay differential equations

DOI10.1186/s13662-014-0351-0zbMath1402.65082OpenAlexW2095869319WikidataQ59436116 ScholiaQ59436116MaRDI QIDQ318638

Mohammad Hasan, M. Dambrine

Publication date: 5 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-014-0351-0

zbMATH Keywords

Legendre-Gauss collocation methodsnonlinear neutral delay differential equationsspectral accuracy

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Neutral functional-differential equations (34K40) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for functional-differential equations (65L03)

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Fast and precise spectral method for solving pantograph type Volterra integro-differential equations ⋮ Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays ⋮ Collocation methods for Volterra functional integral equations with non-vanishing delays ⋮ Extended block boundary value methods for neutral equations with piecewise constant argument ⋮ Implicit-explicit one-leg methods for nonlinear stiff neutral equations ⋮ The eigenvalue characterization for the constant sign Green's functions of \((k,n-k)\) problems ⋮ A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument

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