A comparison between different numerical methods which are used to solve cross flow model in multicomponent membrane gas separation is studied. Considering cross flow model, numerical methods such as Bogacki-Shampine method, Dormand-Prince method, Adams-Bashforth-Moulton method, numerical differentiation formulas, modified Rosenbrock formula of order 2, Trapezoidal rule with free interpolant an...

In these appendices we present, successively, I conditions for the existence of a unique solution of (1.1) and (1.2); II three tables of coefficients of forward differentiation formulas, and of two common LM formulas for ODEs, viz., backward differentiation formulas and Adams-Moulton formulas; III two lemmas which are needed in: IV proofs of the main results of this paper, as far as they are no...

In this paper, we consider some aspects of the numerical analysis mathematical model fractional Duffing with a derivative variable order Riemann-Liouville type. Using methods: an explicit finite-difference scheme based on Grunwald-Letnikov and Adams-Bashford-Moulton approximations (predictor-corrector), proposed is found. These methods have been verified test case. It shown that predictor-corre...

Abstract Fractional differential equations have recently demonstrated their importance in a variety of fields, including medicine, applied sciences, and engineering. The main objective this study is to propose an Adams-type multistep method for solving fractional order. developed by implementing the Lagrange interpolation taking into account idea Adams–Moulton case. derivative Caputo operator. ...

In this paper, a fractional order model based on the management of waste plastic in ocean (FO-MWPO) is numerically investigated. The mathematical form FO-MWPO categorized into three components, plastic, Marine debris, and recycling. stochastic numerical solvers using Levenberg-Marquardt backpropagation neural networks (LMQBP-NNs) have been applied to present solutions system. competency method ...

Based on an exact solution of the pertinent boundary-value problem, a method is presented for finding the electromagnetic fields scattered or guided by lossy dielectric gratings having arbitrary profiles. This method unifies the treatment of both perpendicular (TE) and parallel (TM) polarizations by expressing the fields in terms of two coupled first-order differential equations. Their solution...

Synchronization phenomenon has been studied intensively because of its application in many fields, and one of it is secure communication. There are many ways for synchronization, such as feedback method, adaptive techniques, time delay feedback approach, backstepping method, with nonlinear control [10]. We will prove here synchronization and anti-synchronization between two chaotic systems of d...