The Galerkin continuous finite element method for delay-differential equation with a variable term

DOI10.1016/j.amc.2006.07.147zbMath1175.65091OpenAlexW1999052859WikidataQ115361865 ScholiaQ115361865MaRDI QIDQ884613

Zhiguang Xiong, Yunqing Huang, Kang Deng

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.147

zbMATH Keywords

stabilitysuperconvergencedelay-differential equationcontinuous finite element methodrecursive schemesvariable term

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) Numerical methods for functional-differential equations (65L03)

Related Items (8)

Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type ⋮ Ana priorierror analysis of thehp-version of theC⁰-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations ⋮ Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation ⋮ Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay ⋮ An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations ⋮ Superconvergence of discontinuous Galerkin methods for nonlinear delay differential equations with vanishing delay ⋮ The continuous Galerkin finite element methods for linear neutral delay differential equations ⋮ An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays

Cites Work

• The stability of a class of Runge-Kutta methods for delay differential equations
• Superconvergence of the continuous Galerkin finite element method for delay-differential equation with several terms
• Continuous Finite Elements in Space and Time for the Heat Equation
• A continuous space-time finite element method for the wave equation
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