The long-time stability properties of a few multistep numerical schemes for the two-dimensional incompressible Navier–Stokes equations (formulated in vorticity-stream function) are investigated in this article. These semi-implicit numerical schemes use a combination of explicit Adams–Bashforth extrapolation for the nonlinear convection term and implicit Adams–Moulton interpolation for the visco...

A multistep flux-corrected transport (MFCT) scheme is developed to achieve conservative and monotonic tracer transports for multistep dynamical cores. MFCT extends Zalesak twotime level scheme to any multistep time-differencing schemes by including multiple highorder fluxes in the antidiffusive flux, while computing the two-time level low-order monotone solution. The multistep time-differencing...

In recent decades, AIDS has been one of the main challenges facing medical community around world. Due to large human deaths this disease, researchers have tried study dynamic behaviors infectious factor disease in form mathematical models addition clinical trials. paper, we a new model which dynamics CD4+ T-cells under effect HIV-1 infection are investigated context generalized fractal-fractio...

In this study, we explore a recent biological model created to analyze the behavior of cancer cells by administering dose drug containing anti-PD-L1 and IL-10 with Caputo Atangana–Baleanu derivative in sense (ABC). Using order examine stability non-linear system, are able demonstrate that it is existent unique, introduce several numeric data obtained for fractional values MATLAB using Adams–Bas...

Abstract Fall armyworm ( Spodoptera frugiperda ), a highly destructive and fast spreading agricultural pest native to North South America, poses real threat global food security. In this paper, explore the dynamics implications of fall outbreak in field maize biomass, we propose new dynamical system for biomass interaction via Caputo fractional-order operator, which is not only nonlocal operato...

Many different numerical models exist for solving the parabolic wave equation. Hardin and Tappert[2] suggested a split-step algorithm in conjunction with the fast Fourier Transform (FFr) method. Lee and Papadakis[3] used a scheme which is based on the predictor-corrector technique of Adams-Bashforth; Lee, Botseas and Papadakis[4] introduced an implicit finitedifference scheme. Chan, Shen and Le...

A numerical simulation of steady and unsteady two-dimensional flows past cylinder with dimples based on highly accurate pseudospectral method is the subject of the present paper. The vorticity and streamfunction formulation of two-dimensional incompressible NavierStokes equations with no-slip boundary conditions is used. The system is formulated on a unit disk using curvilinear body fitted coor...

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...

Apresentamos neste trabalho uma breve revisão sobre o cálculo fracionário e também método de Adam-Bashforth para solução equações diferenciais fracionárias. O é devido a Diethelm et al. [1] caracteriza-se pela sua eficiência, já que considera os efeitos memória das derivadas A apresentação do tema realizada forma pedagógica, proporcionando compreensão daqueles são incipientes no assunto. Nesse ...