Conditional contractivity of Runge-Kutta methods for nonlinear differential equations with many variable delays

DOI10.1016/j.cnsns.2007.09.006zbMath1221.65168OpenAlexW2048712181MaRDI QIDQ718839

Wan-Sheng Wang, Shou-fu Li

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.09.006

zbMATH Keywords

Runge-Kutta methodscontractivitynonlinear delay differential equationsconditional contractivity

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Theoretical approximation of solutions to functional-differential equations (34K07)

Related Items

Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson's blowflies models ⋮ Integration processes of delay differential equation based on modified Laguerre functions ⋮ LDG method for reaction-diffusion dynamical systems with time delay

Uses Software

• RODAS

Cites Work

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