Numerical Analysis

Surface mobility of surfactant solutions XVI. Involvement of the fluid viscosities in the Marangoni flow – some aspects

6 years ago

AbstractThe influence of viscosity upon the Marangoni flow (induced by surface tension differences) in competition with the gravity flow, through…

Numerical methods in establishment of concentration profile for the flows with chemical reactions over rotating disk

6 years ago

AbstractA viscous flow due to a rotating disk involving homogeneous as well as heterogeneous chemical reactions is considered. We simplify…

Numerical methods for the flows with chemical reactions over a rotating disk

6 years ago

AbstractA shooting method with variable step size is used in order to determine the concentration profile in a boundary layer…

On the behavior of a thin liquid layer flowing due to gravity and a surface tension gradient

6 years ago

AbstractA thin liquid layer flowing due to gravity and a surface tension gradient are taken into account. On the liquid/gas…

On the bifurcation and variational approximation of the positive solution of a nonlinear reaction-diffusion problem

6 years ago

Abstract We consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion processes. When the reaction term has…

On the use of Green’s formula for the solution of the Navier-Stokes equations

6 years ago

AbstractA general iterative procedure for solving Navier-Stokes system in stream function-vorticity variables is considered. Using the fundamental solution for Laplace…

On the existence and uniqueness of positive solutions of some mildly nonlinear elliptic boundary value problems

6 years ago

AbstractFor a homogeneous Dirichlet problem attached to a semilinear elliptic equation we study the existence and uniqueness of non-negative solutions.…

On the Chebyshev-tau approximation for some singularly perturbed two point boundary value problems – Numerical experiments

6 years ago

AbstractIn this paper we are concerned with numerical stability of Chebyshev-tau method in solving some singularly perturbed two-point boundary value…

A unified treatment of boundary layer and lubrication approximations in viscous fluid mechanics

6 years ago

AbstractIt is a matter of every day experience to find the boundary layer and lubrication approximations exposed as if they…

Spectral collocation solutions to systems of boundary layer type

6 years ago

AbstractThree spectral collocation methods, namely Laguerre collocation (LC), Laguerre Gauss Radau collocation (LGRC) and mapped Chebyshev collocation (ChC) are used…

Numerical Analysis

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