Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations
From MaRDI portal
Publication:2868879
DOI10.1002/mma.2769zbMath1278.65161OpenAlexW2150434791MaRDI QIDQ2868879
Zi-Qiang Liang, Lijun Yi, Zhong-qing Wang
Publication date: 19 December 2013
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.2769
error analysisnonlinear delay differential equationsLegendre-Gauss-Lobatto spectral collocation method
Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by polynomials (41A10) Error bounds for numerical methods for ordinary differential equations (65L70)
Related Items (7)
A spectral collocation method for stochastic Volterra integro-differential equations and its error analysis ⋮ A Legendre-Gauss-Radau spectral collocation method for first order nonlinear delay differential equations ⋮ Ana priorierror analysis of thehp-version of theC0-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations ⋮ An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations ⋮ Unnamed Item ⋮ An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions ⋮ A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A spectral collocation method for solving initial value problems of first order ordinary differential equations
- Delay differential equations: with applications in population dynamics
- One-step collocation for delay differential equations
- A Legendre spectral method in time for first-order hyperbolic equations
- A Legendre-Gauss collocation method for nonlinear delay differential equations
- Legendre-Gauss collocation methods for ordinary differential equations
- Legendre-Gauss collocation method for initial value problems of second order ordinary differential equations
- Numerical integration based on Laguerre-Gauss interpolation
- Numerical solution of delay differential equations by uniform corrections to an implicit Runge-Kutta method
- Fixed step discretisation methods for delay differential equations
- Spectral methods in time for a class of parabolic partial differential equations
- Modelling and analysis of time-lags in some basic patterns of cell proliferation
- Single and multi-interval Legendre \(\tau\)-methods in time for parabolic equations
- Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations
- Unconditionally stable difference methods for delay partial differential equations
- Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems
- Solving Ordinary Differential Equations I
- A Fully-Discrete Spectral Method for Delay-Differential Equations
- The h-p version of the finite element method for parabolic equations. Part I. The p-version in time
- On the Stability of Predictor-Corrector Methods for Parabolic Equations with Delay
- Spectral Methods in Time for Parabolic Problems
- Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
- Oscillation and Chaos in Physiological Control Systems
- Waveform Relaxation for Functional-Differential Equations
- Spectral Methods in Time for Hyperbolic Equations
- Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay
- Numerical Methods for Delay Differential Equations
- Convergence Of The Spline Function For Delay Dynamic System
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Monotone method and convergence acceleration for finite‐difference solutions of parabolic problems with time delays
- Solving Ordinary Differential Equations II
- The h‐p version of the finite element method for parabolic equations. II. The h‐p version in time
- Integration processes of ordinary differential equations based on Laguerre-Radau interpolations
- Spectral Methods
- Integration Processes Based on Radau Quadrature Formulas
This page was built for publication: Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations
