An efficient recursive algorithm in the computational simulation of the bounded growth of biological films

MD Morales-Hernández… - International Journal …, 2012 - World Scientific
In this work, we present a simple, finite-difference method to approximate positive and
bounded solutions of a parabolic partial differential equation with nonlinear diffusion, which …

[PDF][PDF] Global behavior test for a nonlinear difference equation with a period-two coefficient

O Ocalan, H Ogünmez, M Gümüs - Dynamics of Continuous …, 2014 - researchgate.net
In this paper, we investigate the boundedness character, the periodic character and the
global behavior of positive solutions of the difference equation xn+ 1= An+ xpn− kxpn, n= 0 …

On a cyclic system of difference equations

S Stević - Journal of Difference Equations and Applications, 2014 - Taylor & Francis
On a cyclic system of difference equations Page 1 On a cyclic system of difference equations
Stevo Stevica,b* aMathematical Institute of the Serbian Academy of Sciences, Knez Mihailova …

Long-Term Behavior of Positive Solutions of a Certain Nonlinear System of Difference Equations

NP Mai, VD Nguyen - Bulletin of the Iranian Mathematical Society, 2024 - Springer
In this paper, we study the boundedness, stability, and the rate of convergence of positive
solutions of the following system of difference equations: xn+ 1= α+ yn-1 xnp, yn+ 1= α+ xn-1 …

On some explicit non-standard methods to approximate nonnegative solutions of a weakly hyperbolic equation with logistic nonlinearity

JE Macías-Díaz, A Puri - International Journal of Computer …, 2011 - Taylor & Francis
We introduce non-standard, finite-difference schemes to approximate nonnegative solutions
of a weakly hyperbolic (that is, a hyperbolic partial differential equation in which the second …

On an efficient implementation and mass boundedness conditions for a discrete Dirichlet problem associated with a nonlinear system of singular partial differential …

JE Macías-Díaz, FJ Avelar-González… - Journal of Difference …, 2015 - Taylor & Francis
In this work, we propose an efficient implementation of a finite-difference method employed
to approximate the solutions of a system of partial differential equations that appears in the …

[PDF][PDF] Long-term behavior of a cyclic max-type system of difference equations

T Stevic, B Iricanin - Electronic Journal of Differential Equations, 2015 - kurims.kyoto-u.ac.jp
We study the long-term behavior of positive solutions of the cyclic system of difference
equations x (i) n+ 1= max n α,(x (i+ 1) n) p (x (i+ 2) n− 1) qo, i= 1,..., k, n∈ N0, where k∈ N …

[PDF][PDF] Global analysis of a non-autonomous difference equation with bounded coefficient

Ö ÖCALAN, M GÜMÜS - Electronic Journal of Mathematical …, 2016 - ejmaa.journals.ekb.eg
In this paper, we investigate the boundedness character and the global behavior of positive
solutions of the following non-autonomous difference equation. xn+ 1= An+ xn− k xn, n= 0 …

An integro-differential generalization and dynamically consistent discretizations of some hyperbolic models with nonlinear damping

JE Macías-Díaz - International Journal of Computer Mathematics, 2015 - Taylor & Francis
This note presents a weak generalization of a time-delayed partial differential equation
which, in turn, generalizes the well-known Burger–Fisher and Burgers–Huxley models. In …

On a simple fully discrete finite-difference approximation of a nonlinear diffusion-reaction model in microbial ecology

MD Morales Hernández - 2014 - bdigital.dgse.uaa.mx
In this work, we present a simple, nite-di erence method to approximate positive and
bounded solutions of a parabolic partial di erential equation with nonlinear di usion which …