The extended block generalized Störmer-Cowell methods for second-order nonlinear delay-differential-algebraic equations with index-1
DOI10.1016/j.cam.2023.115650OpenAlexW4388336564MaRDI QIDQ6126081
Huiru Wang, Shi Chen, Ai-Guo Xiao, Xiaoqiang Yan
Publication date: 9 April 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2023.115650
convergenceunique solvabilityblock generalized Störmer-Cowell methodssecond-order nonlinear delay-differential-algebraic equations with index-1
Numerical computation of solutions to systems of equations (65H10) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for functional-differential equations (65L03)
Cites Work
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- PGSCM: A family of \(P\)-stable boundary value methods for second-order initial value problems
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Block boundary value methods for linear Hamiltonian systems
- The extended generalized Störmer-Cowell methods for second-order delay boundary value problems
- Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations
- The numerical solution of differential-algebraic systems by Runge-Kutta methods
- High-order multistep methods for boundary value problems
- Convergence and stability of boundary value methods for ordinary differential equations
- Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods
- Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments
- Block generalized Störmer-Cowell methods applied to second order nonlinear delay differential equations
- Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods
- Solving nonlinear second-order delay initial value problems via the adapted generalized Störmer-Cowell methods
- On accuracy and unconditional stability of linear multistep methods for second order differential equations
- Applied Delay Differential Equations