The approximate solution of the Klein-Gordon equation for a real scalar field mass $\mu$ in geometry Kerr black hole obtained by Detweiler \cite{Detweiler:1980uk} is widely used analysis stability holes as well search axion-like particles. In this work, we confirm missing factor $1/2$ solution, which was first identified Ref.~\cite{Pani:2012bp}. corrected result has strange features that put qu...

the transport of dissolved contaminants in groundwater is usually described by the advectiondispersion equation with reaction. several numerical methods for solving the one-dimensional are availableincluding finite difference methods, finite volume methods, and finite element methods. stringent conditions,such as small peclet (pe) and courant (cr) numbers, must be satisfied to ensure the accura...

in the current study, five different atomistic water models (awms) are implemented, in order to investigate the impact of awms treatment on the water velocity profile and density number. for this purpose, molecular dynamics simulation (mds) of poiseuille flow in a nano-channel is conducted. considered awms are spc/e, tip3p, tip4p, tip4pfq and tip5p. to assessment of the ability of each model in...