Optimal convergence orders of fully geometric mesh one-leg methods for neutral differential equations with vanishing variable delay
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-019-09688-8
Abstract: The purpose of this paper is to obtain the error bounds of fully geometric mesh one-leg methods for solving the nonlinear neutral functional differential equation with a vanishing delay. For this purpose, we consider Gq-algebraically… read more here.
Keywords: fully geometric; mesh one; geometric mesh; one leg ... See more keywords
Fully-geometric mesh one-leg methods for the generalized pantograph equation: Approximating Lyapunov functional and asymptotic contractivity ☆
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.01.019
Abstract: Abstract Motivated by recent stability results on one-step methods, especially Runge–Kutta methods, for the generalized pantograph equation (GPE), in this paper we study the stability of one-leg multistep methods for these equations since the one-leg… read more here.
Keywords: one leg; lyapunov functional; leg; methods generalized ... See more keywords