A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument
DOI10.1080/00207160.2017.1398321zbMath1499.65265OpenAlexW2767727682MaRDI QIDQ5028590
Bochao Liu, Tingting Qin, Cheng-Jian Zhang, Wan-Sheng Wang
Publication date: 10 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2017.1398321
convergence analysisdelay differential equationspiecewise continuous argumentLegendre spectral collocation methodnonlinear neutral equations
Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for functional-differential equations (65L03)
Related Items (9)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Legendre-Gauss collocation methods for nonlinear neutral delay differential equations
- Some progress in spectral methods
- Numerical stability of one-leg methods for neutral delay differential equations
- Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space
- Stability analysis of general linear methods for nonlinear neutral delay differential equations
- A Legendre-Gauss collocation method for nonlinear delay differential equations
- Nonlinear stability of general linear methods for neutral delay differential equations
- Legendre-Gauss collocation methods for ordinary differential equations
- Stability analysis of one-step methods for neutral delay-differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Theory of functional differential equations. 2nd ed
- Numerical stability of nonlinear delay differential equations of neutral type
- Stability analysis of numerical methods for systems of neutral delay-differential equations
- Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations
- Stability analysis of LMMs for systems of neutral multidelay-differential equations
- Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations
- A Legendre-Gauss-Radau spectral collocation method for first order nonlinear delay differential equations
- Nonlinear stability of one-leg methods for delay differential equations of neutral type
- Nonlinear stability of Runge-Kutta methods for neutral delay differential equations
- Legendre spectral collocation methods for Volterra delay-integro-differential equations
- Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations
- Spectral Methods
- Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods
This page was built for publication: A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument