On the accuracy of pseudospectral differentiation
Abstract For various grids on a finite interval we measure the accurarcy of pseudospectral (collocation) differentiation matrices using two parameters.…
Surface mobility of surfactant solutions. XI Numerical analysis for the Marangoni and the gravity flow in a thin liquid layer of triangular section
Abstract The numerical calculation method of the “simplex” finite elemente in applied to the Marangoni flow undergone by the surfactant…
Accurate spectral solutions to a phase-field transition system
Abstract The paper is mainly concerned with numerical approximation of solutions to the phase-field transition system (Caginalp’s model), subject to…
Surface mobility of surfactant solutions XII. Remarks concerning the Marangoni flow through an inclined surface canal
Abstract The Marangoni flow of an incompressible viscous fluid through an inclinde canal having triangular section and a free liquid/gas…
Laguerre collocation solutions vs. analytic results for singular semilinear BVPs on the half line
Abstract We make use of two Laguerre collocation techniques as a way to illustrate, deepen or extend some analytic results…
Numerical simulation of rain-runoff process within the Zalău drainage, at the Sărmăşag gauging point
Abstract We use the rainfall-runoff model of Nielsen and Hansen in order to study the daily rates of flow at…
The shooting method in establishment of concentration profiles in diffusive boundary layer
Abstract A viscous incompressible fluid reacts chemically with a rotating disk. We establish the diffusion equation in the boundary layer…
Marangoni flow -induced by temperature gradients- against gravity forces
Abstract In the present work a comparison in made between the authors experimental and numerically calculated data obrained in studying…
Surface mobility of surfactant solutions XVII. Determination of Marangoni rate of flow in simulated zero gravity conditions
Abstract Values of the Marangoni rates of flow experimentally determined for a thin liquid pellicle found in inclined canals have…
On the bifurcation of the null solutions of some boundary value problems
Abstract Existence and aymptotic expansion of some bifurcated solution for the following boundary value problem: \begin{align*} -\Delta u+cu^{2}-B^{2}u & =0,\ \…