The main purpose of the book is to introduce the readers to the numerical integration of the
Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that …

Delay differential equations are of sufficient importance in modelling real-life phenomena to
merit the attention of numerical analysts. In this paper, we discuss key features of delay …

This paper deals with the properties of the analytic solution and the numerical solution of the
multi-pantograph equation [Formula: see text] Here λ, μ1, μ2,…, μl, u0∈ C. The existence …

A linearized compact difference scheme is presented for a class of nonlinear delay partial
differential equations with initial and Dirichlet boundary conditions. The unique solvability …

Die mathematische Modellierung von physikalisch-technischen sowie auch von
biologischen Prozessen führt häufig auf Anfangswertprobleme für Systeme gewöhnlicher …

Stability analysis of some representative numerical methods for systems of neutral delay-
differential equations (NDDEs) is considered. After the establishment of a sufficient condition …

Distributed by Elsevier Science on behalf of Science Press. Available internationally for the
first time, this book introduces the basic concepts and theory of the stability of numerical …

This article is concerned with ϑ‐methods for delay parabolic partial differential equations.
The methodology is extended to time‐fractional‐order parabolic partial differential equations …

This paper deals with the properties of the numeric solution of the multi-pantograph equation
[Formula: see text] where 0< ql<⋯< q2< q1< 1 and λ, μ1, μ2,…, μl, u0∈ C. We gave the …

In this paper we consider asymptotic stability properties of θ-methods for the following
pantograph equation: where a, b, c∈ C. In recent years stability properties of numerical …