Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations [PDF]
, 2013 This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second order fully nonlinear partial differential equations (PDEs) in 1-D.
Feng, Xiaobing +2 more
core +1 more source
Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations [PDF]
, 2005 The stability of five finite difference-time domain (FD-TD) schemes coupling Maxwell equations to Debye or Lorentz models have been analyzed in [1] (P.G.
Brigitte Bidégaray-Fesquet, Kashiwa T.
core +5 more sources
Stability of delay parabolic difference equations
Filomat, 2014 In the present paper, the stability of difference schemes for the approximate solution of the initial value problem for delay differential equations with unbounded operators acting on delay terms in an arbitrary Banach space is studied. Theorems on stability of these difference schemes in fractional spaces are established.
Ashyralyev, Allaberen, Agirseven, Deniz
openaire +3 more sources
Stability of Difference Equations and Applications to Robustness Problems
Advances in Difference Equations, 2010 The aim of this paper is to obtain new necessary and sufficient conditions for the uniform exponential stability of variational difference equations with applications to robustness problems.
Sasu Bogdan
doaj +2 more sources
Solution for Rational Systems of Difference Equations of Order Three
Mathematics, 2016 In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n
Mohamed M. El-Dessoky
doaj +1 more source
Stability Results for Two-Dimensional Systems of Fractional-Order Difference Equations
Mathematics, 2020 Linear autonomous incommensurate systems that consist of two fractional-order difference equations of Caputo-type are studied in terms of their asymptotic stability and instability properties.
Oana Brandibur +3 more
doaj +1 more source
Development and stability of gyrotactic plumes in bioconvection [PDF]
, 1999 Using the continuum model of Pedley, Hill and Kessler (1988) for bioconvection in a suspension of swimming, gyrotactic micro-organisms, we investigate the existence and stability of a two-dimensional plume in tall, narrow chambers with stress-free ...
Ghorai, S., Hill, N.A.
core +1 more source
Stability problem of some nonlinear difference equations
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, we investigate the asymptotic stability of the recursive sequence xn+1=α+βxn21+γxn−1, n=0,1,… and the existence of certain monotonic solutions of the equation xn+1=xnpf(xn,xn−1,…,xn−k), n=0,1,… which includes as a special case the ...
Alaa E. Hamza, M. A. El-Sayed
doaj +1 more source
On the stability of some systems of exponential difference equations [PDF]
Opuscula Mathematica, 2018 In this paper we prove the stability of the zero equilibria of two systems of difference equations of exponential type, which are some extensions of an one-dimensional biological model.
N. Psarros +2 more
doaj +1 more source
Stability of the Exponential Type System of Stochastic Difference Equations
Mathematics, 2023 The method of studying the stability in the probability for nonlinear systems of stochastic difference equations is demonstrated on two systems with exponential and fractional nonlinearities.
Leonid Shaikhet
doaj +1 more source