Periodic solutions of nonlinear delay differential equations using spectral element method

DOI10.1007/s11071-011-0017-3zbMath1246.65102OpenAlexW2013669995MaRDI QIDQ437191

David A. W. Barton, Firas A. Khasawneh, Brian P. Mann

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0017-3

zbMATH Keywords

stabilityconvergenceperiodic orbitsspectral element methodnumerical examplesDuffing equationmesh refinementVan der Pol equationMackey-Glass equationautonomous nonlinear delay differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for functional-differential equations (65L03)

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Uses Software

• AUTO
• RADAR5

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