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math.NA2018
Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium
Alexander G. Churbanov, Petr N. Vabishchevich
A Dirichlet problem is considered for the eikonal equation in an anisotropic medium. The nonlinear boundary value problem (BVP) formulated in the present work is the limit of the d…
math.NA2015★ 15 cited
Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts
Alexander G. Churbanov, Petr N. Vabishchevich
The models that are based of fractional derivatives should be highlighted among promising new models to describe turbulent fluid flows. In the present work, a steady-state flow in…
math.NA2012★ 79 cited
Numerical Methods for Solving Convection-Diffusion Problems
A. Churbanov, P. Vabishchevich
Convection-diffusion equations provide the basis for describing heat and mass transfer phenomena as well as processes of continuum mechanics. To handle flows in porous media, the f…