The extended one-leg methods for nonlinear neutral delay-integro-differential equations

Authors:
Chengjian Zhang;Yaoyao He
Affiliations:
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China;School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China and Institute of Hydroelectric and Information Engineering, Huazhong University of Science ...
Venue:
Applied Numerical Mathematics
Year:
2009

Citing 7
Cited 2

Stability properties of a scheme for the approximate solution of a delay-integro-differential equation

Selected papers from the international conference on Numerical solution of Volterra and delay equations
Continuous Runge-Kutta methods for neutral Volterra integro-differential equations with delay

Selected papers of the second international conference on Numerical solution of Volterra and delay equations : Volterra centennial: Volterra centennial
Stability and error analysis of one-leg methods for nonlinear delay differential equations

Journal of Computational and Applied Mathematics
Stability of Runge-Kutta methods for delay integro-differential equations

Journal of Computational and Applied Mathematics
An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays

SIAM Journal on Scientific Computing
Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
General Linear Methods for Volterra Integro-differential Equations with Memory

SIAM Journal on Scientific Computing

Dissipativity of one-leg methods for neutral delay integro-differential equations

Journal of Computational and Applied Mathematics
Original article: Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations

Mathematics and Computers in Simulation

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, a class of extended one-leg methods for nonlinear neutral delay-integro-differential equations are suggested. The nonlinear stability of the methods are investigated. It is proven that the extended one-leg methods are globally and asymptotically stable under the suitable conditions. In the end, numerical experiments illustrate the computational effectiveness of the methods.