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Third order non-linear difference equation with neutral term [PDF]
E3S Web of Conferences, 2023 This paper aims to investigate the oscillatory characteristics of a neutral third order nonlinear difference equation. Utilizing the comparison principle, we get some new standards that guarantee that any solution to the neutral difference equation ...
Kaleeswari S., Rangasri S.
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Some finite difference methods for solving linear fractional KdV equation
Frontiers in Applied Mathematics and Statistics, 2023 The time-fractional Korteweg de Vries equation can be viewed as a generalization of the classical KdV equation. The KdV equations can be applied in modeling tsunami propagation, coastal wave dynamics, and oceanic wave interactions.
Appanah Rao Appadu, Abey Sherif Kelil
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Advances in Difference Equations, 2017 We present some interesting facts connected with the following second-order difference equation: x n + 2 − q n x n = f n , n ∈ N 0 , $$x_{n+2}-q_{n}x_{n}=f_{n},\quad n\in \mathbb{N}_{0}, $$ where ( q n ) n ∈ N 0 $(q_{n})_{n\in\mathbb{N}_{0}}$ and ( f n )
Stevo Stević
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Some representations of the general solution to a difference equation of additive type
Advances in Difference Equations, 2019 The general solution to the difference equation xn+1=axnxn−1xn−2+bxn−1xn−2+cxn−2+dxnxn−1xn−2,n∈N0, $$x_{n+1}=\frac {ax_{n}x_{n-1}x_{n-2}+bx_{n-1}x_{n-2}+cx_{n-2}+d}{x_{n}x_{n-1}x_{n-2}},\quad n\in\mathbb{N}_{0}, $$ where a,b,c∈C $a, b, c\in\mathbb{C}$, d∈
Stevo Stević
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Linear even order homogenous difference equation with delay in coefficient
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We use many classical results known for the self-adjoint second-order linear equation and extend them for a three-term even order linear equation with a delay applied to coefficients.
Jan Jekl
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Some estimates for a special linear difference parabolic equation
Mathematical Modelling and Analysis, 1997 The finite‐difference scheme for a special linear parabolic equation is investigated. A priori estimates for such finite‐difference scheme are derived in the difference analogues of norm on Banach function spaces V2 and W 2 2,1. First Published Online:
Artūras Štikonas
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Conservative Linear Difference Scheme for Rosenau-KdV Equation
Advances in Mathematical Physics, 2013 A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well.
Jinsong Hu, Youcai Xu, Bing Hu
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Oscillation properties for a scalar linear difference equation of mixed type [PDF]
Mathematica Bohemica, 2016 The aim of this work is to study oscillation properties for a scalar linear difference equation of mixed type \Delta x(n)+\sum_{k=-p}^qa_k(n)x(n+k)=0,\quad n>n_0, where $\Delta x(n)=x(n+1)-x(n)$ is the difference operator and $\{a_k(n)\}$ are ...
Leonid Berezansky, Sandra Pinelas
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Finite difference schemes for linear advection equation solving under generalized approximation condition [PDF]
Компьютерные исследования и моделирование, 2018 A set of implicit difference schemes on the five-pointwise stensil is under construction. The analysis of properties of difference schemes is carried out in a space of undetermined coefficients. The spaces were introduced for the first time by A.
Alexey I. Lobanov
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Representation of solutions of a solvable nonlinear difference equation of second order
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a representation of well-defined solutions to the following nonlinear second-order difference equation $$x_{n+1}=a+\frac{b}{x_n}+\frac{c}{x_nx_{n-1}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c$, and initial values $x_{-1}$ and $x_0 ...
Stevo Stevic +3 more
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