HIV, like many other infections, is a severe and lethal infection. Fractal-fractional operators are frequently used in modeling numerous physical processes the current decade. These provide better dynamics of mathematical model because these generalization integer fractional-order operators. This paper aims to study HIV during primary infection by fractal-fractional Atangana–Baleanu (AB) The su...

The current manuscript describes the dynamics of a fractional mathematical model serial killing under Mittag–Leffler kernel. Using fixed point theory approach, we present qualitative analysis problem and establish result that ensures existence at least one solution. Ulam’s stability given is presented by using nonlinear concepts. iterative fractional-order Adams–Bashforth approach being used to...

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 ...

This article presents a family of very high-order non-uniform grid compact finite difference schemes with spatial orders of accuracy ranging from 4th to 20th for the incompressible Navier–Stokes equations. The high-order compact schemes on non-uniform grids developed in Shukla and Zhong [R.K. Shukla, X. Zhong, Derivation of high-order compact finite difference schemes for non-uniform grid using...

This study discusses numerical simulation using the Adams-Bashforth-Moulton (ABM) method of order 4 in flying fox string mathematical model which is form ordinary differential equations depending on time, consisting two equations, namely equation y(t) and angular θ(t). a that has been constructed by Kusumastuti, et al (2017) validated comparing analytical solutions to its Sari (2018). The analy...

In this paper, we investigate a (discretization) Caputo fractional glucose-insulin model qualitatively with incommensurate orders that appear in Bergman's minimal model. After intravenous tolerance testing, the is used to characterize blood insulin and glucose metabolism. We also prove presented possesses existence, uniqueness, non-negative, boundedness solution. proceed systematical studies on...

In this manuscript, we have analyzed a new time non-integer order smoking model endowed with Caputo fractional type derivative operator. The is composed of four compartmental agents various smokers named as potential smoker, Light Smoker and Quit smoker. first attempt about the qualitative study considered problem along existing result derivation unique solution by application fixed point theor...

An analysis is reported here for three-time level integration methods following the global spectral analysis (GSA) described in High Accuracy Computing Methods , T.K. Sengupta, Cambridge Univ. Press, USA. The focus is on the second order Adams–Bashforth (AB2) and the extrapolation in time (EXT2) methods. Careful distinction is made for the first time step at t = 0 by either Euler forward or fou...

High-accuracy schemes have been proposed here to solve computational acoustics 4 and DNS problems. This is made possible for spatial discretization by optimizing 5 explicit and compact differencing procedures that minimize numerical error in the 6 spectral plane. While zero-diffusion nine point explicit scheme has been proposed 7 for the interior, additional highaccuracyone-sided stencils have ...