On difference equation with generalized dilation

FUZZY LOGISTIC DIFFERENCE EQUATION

In this study, we consider two different inequivalent formulations of the logistic difference equation $x_{n+1}= beta x_n(1- x_n), n=0,1,..., $ where $x_n$ is a sequence of fuzzy numbers and $beta$ is a positive fuzzy number. The major contribution of this paper is to study the existence, uniqueness and global behavior of the solutions for two corresponding equations, using the concept of Huku...

Two Conservative Difference Schemes for the Generalized Rosenau Equation

Generalized differential transform method to differential-difference equation

Article history: Received 22 May 2009 Received in revised form 13 September 2009 Accepted 15 September 2009 Available online 19 September 2009 Communicated by A.R. Bishop PACS: 02.30.Jr 02.60.Cb 02.60.Lj

Crank-Nicolson Difference Scheme for the Generalized Rosenau-Burgers Equation

In this paper, numerical solution for the generalized Rosenau-Burgers equation is considered and Crank-Nicolson finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence and priori error estimate of the scheme are proved. Numerical results demonstrate that the scheme is efficient and reliable. Keywords—Generalized Rosenau-B...

A period 5 difference equation

The main goal of this note is to introduce another second-order differenceequation where every nontrivial solution is of minimal period 5, namelythe difference equation:xn+1 =1 + xn−1xnxn−1 − 1, n = 1, 2, 3, . . .with initial conditions x0 and x1 any real numbers such that x0x1 6= 1.