Surface tension is a meaningful parameter influencing boiling and condensation in macroscopic scale, confined spaces, or for nanofluids; it further affects with surfactants. Surface, interfacial, an important property the research into increasing heat transfer, enhancing efficiency of photovoltaic systems, improving engine operation, forming drugs polymers. It often determined using axisymmetri...

We introduce different high order time discretization schemes for backward semi-Lagrangian methods. These schemes are based on multi-step schemes like AdamsMoulton and Adams-Bashforth schemes combined with backward finite difference schemes. We apply these methods to transport equations for plasma physics applications and for the numerical simulation of instabilities in fluid mechanics. In the ...

The solution of initial value problems of large systems of ordinary differential equations (ODEs) is computationally intensive and demands for efficient parallel solution techniques that take into account the complex architectures of modern parallel computer systems. This article discusses implementation techniques suitable for ODE systems with a special coupling structure, called limited acces...

The Robert-Asselin (RA) time filter combined with leapfrog scheme is widely used in numerical models of weather and climate. It successfully suppresses the spurious computational mode associated with the leapfrog method, but it also weakly dampens the physical mode and degrades the numerical accuracy. The Robert-Asselin-Williams (RAW) time filter is a modification of the RA filter that reduces ...

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...

Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts. By taking into account the Caputo Caputo-Fabrizio derivatives, frictional model visceral was mathematically examined based on real data from Gedaref State, Sudan. The stability analysi...

We present a derivation and theoretical investigation of the Adams-Bashforth and Adams-Moulton family of linear multistep methods for solving ordinary differential equations, starting from a Gaussian process (GP) framework. In the limit, this formulation coincides with the classical deterministic methods, which have been used as higher-order initial value problem solvers for over a century. Fur...

We propose and analyze a third-order in time numerical algorithm for the Stokes-Darcy system for flows in fluid saturated karst aquifers. A novel third-order Adams-Moulton scheme is used for the discretization of the dissipative term while a third-order explicit Adams-Bashforth scheme is utilized for the time discretization of the interface term. The scheme is efficient in the sense that one ne...

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...