The extended one-leg methods for nonlinear neutral delay-integro-differential equations
Copyright policy )The extended one-leg methods for nonlinear neutral delay-integro-differential equations
The authors study the stability of backward differentiation formula (BDF) methods of the form \[ \rho(E) y_{n} = h f(\sigma(E)t_{n},\sigma(E)y_{n}), \] introduced by \textit{G. Dahlquist} [Lect. Notes Math. 506, 60--72 (1976; Zbl 0352.65042)], applying to a system of delay integro-differential equation of special form ( the right side \(f\) of equation depend of the integral fom unknown function \( y(t)\). Numerical experiment is illustrated for known Euler implicit scheme, the implicit midpoint method and 2-step BDF scheme, applied to only equation with exact solution \( y(t)=\exp(-t)\).
- Huazhong University of Science and Technology China (People's Republic of)
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Delay differential equation, implicit BDF-methods, Numerical investigation of stability of solutions to ordinary differential equations, Numerical approximation of solutions of functional-differential equations, Stability
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Delay differential equation, implicit BDF-methods, Numerical investigation of stability of solutions to ordinary differential equations, Numerical approximation of solutions of functional-differential equations, Stability
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).25 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!