Approximation of Nonlinear Dynamical Systems via Parametric Rational Interpolation Methods

A Numerical Investigation of Fractional-Order Nonlinear Models in Population Dynamics

This study presents a numerical approach for solving fractional-order formulations of classical population dynamics models (the Logistic, Richards, Gompertz, and Predator-Prey models), with the aim of verifying the impact of incorporating non-integer orders in these models. The methodology is based on a discretization...

Solutions and Solution Behavior of Difference Equation Systems

 The behaviour of the solutions of the following system of difference equations is examined. In this study, the solutions of the initial conditions in the range (0,1) and the behavior of the solutions were examined. Investigations on the recent studies show that researches nature of nonlinear difference equations have...

MATHEMATICAL ANALYSIS AND NUMERICAL SIMULATION OF A NONLINEAR BLOCH-TYPE MODEL

In this work, we study the mathematical properties of a Bloch-type model, such as energy dissipation and exponential decay, incorporating nonlinear effects including Coulomb interaction. We show that the model is globally well-posed. Furthermore, the existence of an equilibrium state is established in the case of a red...

A simple second-order nonstandard numerical method for a general class of dynamical systems and its applications

In this work, we consider a class of continuous-time autonomous dynamical systems that model various important phenomena and processes encountered in real-world situations. We construct a second-order nonstandard finite difference (NSFD) method that simultaneously preserves two essential properties of the dynamical sys...

Analytical Solution of Nonlinear Dynamical System with Negative Stiffness Content

Identification of nonlinear finite element model through discrete-time Volterra series