On the Marangoni flow on an inclined plane
AbstractWe consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously…
Numerical Analysis
On an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…
A survey on the high convergence orders and computational convergence orders of sequences
This is the first paper which surveys the rigorous definitions and relations of convergence orders (the Q-orders; the C-orders; the…
Comment on ”Numerical analysis for the effect of surfactants on a circular liquid lens (I)”
AbstractWe comment on the definition of the surface tension gradient when of the surface of a liquid drop a surfactant…
FEM and/or BEM for numerical simulation of Marangoni flow
AbstractThe aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite…
Effects of surfactants on an undeformable drop initially at rest
AbstractWe study the effect of some gradients of surface tension acting on the surface of a liquid drop supposed undeformable…
A modified Chebyshev-tau method for a hydrodynamic stability problem
AbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…
The numerical approximation to positive solution for some reaction-diffusion problems
Abstract A one-dimensional reaction-diffusion problem, with the reaction term of the form \(u^{p}\), \(p>1\) is considered. For \(p=3\), we deduce…
Electrical Conductivity of Vitreous 75%V2O5−25%(As2O3·B2O3)
AbstractIn this note we present a study of semiconducting properties of vitreous 75%V2O5-25% which contains two glass former oxides namely…
An integral formulation for some slow viscous flows with free surfaces
AbstractFor some viscous incompressible flows at low Reynolds numbers we deduce a system of nonlinear integral equations for stream function…