Stability and convergence of the two parameter cubic spline collocation method for delay differential equations
DOI10.1016/j.camwa.2011.07.057zbMath1231.65114OpenAlexW1987095122MaRDI QIDQ660921
Hong Su, Liping Wen, Shui-Ping Yang
Publication date: 5 February 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.07.057
Numerical computation using splines (65D07) 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)
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Cites Work
- A degree by degree recursive construction of Hermite spline interpolants
- Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations
- A uniformly differentiable approximation scheme for delay systems using splines
- On the use of spline functions of even degree for the numerical solution of the delay differential equations
- Spline collocation methods for solving delay-differential equations.
- On the Newton iteration in the application of collocation methods to implicit delay equations
- \(2h\)-step spline method for the solution of delay differential equations
- Nonlinear stability and asymptotic stability of implicit Euler method for stiff Volterra functional differential equations in Banach spaces
- Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
- On some 4-Point Spline Collocation Methods for Solving Ordinary Initial Value Problems
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