A flow field over a rigid wavy surface is numerically generated. The general concept of the large eddy simulation that captures the large scale flow structure is utilized. A coordinate transformation scheme is developed to transform any wavy surface to a flat surface. The numerical computations are carried out in the co ~ domain. The subgrid scales are resolved by utilizing a Smagorinsky subgri...

In this article, we develop a simple mathematical GNU Octave/MATLAB code that is easy to modify for the simulation of models governed by fractional-order differential equations, and resolution optimal control problems through Pontryagin's maximum principle (indirect approach control). For purpose, model respiratory syncytial virus (RSV) infection considered. The an improvement one first propose...

In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents adapted a class of non-commensurate fractional-order systems modeled by Caputo's derivative and corresponding Matlab code are presented. The continues work started in [Danca & Kuznetsov, 2018], where commensurate is given. To integrate extended system, Adams-Bashforth-Moulton for fractional differential equations util...

The presented communication provides the analysis of entropy generation and heat transport rate in peristalsis hybrid nanofluid induced by metachronal ciliary beating under magnetic environment for sufficiently large Reynolds number. Nanoparticles Cu Al 2 O 3 are suspended water. Features their structures determined using long-wavelength approximation with zero Adams Bashforth method has been a...

In this article, we conjugate time marching schemes with Finite Differences splittings into low and high modes in order to build fully explicit methods with enhanced temporal stability for the numerical solutions of PDEs. The main idea is to apply explicit schemes with less restrictive stability conditions to the linear term of the high modes equation, in order that the allowed time step for th...

We introduce new projective versions of second-order accurate Runge-Kutta and Adams-Bashforth methods, and demonstrate their use as outer integrators in solving stiff differential systems. An important outcome is that the new outer integrators, when combined with an inner telescopic projective integrator, can result in fully explicit methods with adaptive outer step size selection and solution ...

In this paper we concern with asymptotic stability, synchronization control and numerical solution of incommensurate order fractional Shimizu–Morioka dynamical system. Firstly we prove the existence and uniqueness of the solutions via a new theorem. After finding steady–state points, we obtain necessary and sufficient conditions for the asymptotic stability of the Shimizu–Morioka system. We als...