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Numerical implementation of the Lame equation with complex boundary conditions. The model is tested on an analytical solution. A complex boundary condition arises when a microcrack
Symbolic-Numeric Study of Geometric Properties of Adiabatic Waveguide Modes was obtained using the model of adiabatic waveguide modes. Highly analytical solution procedure makes
Maximization of the lift/drag ratio of airfoils with a turbulent boundary layer: Sharp estimates, approximation, and numerical solutions into account the viscosity in the boundary-layer approximation. An exact solution is constructed. The situation
Heat flow rate at a bore-face and temperature in the multi-layer media surrounding a borehole rocks are calculated numerically by finite difference method or analytically by applying the Laplace
Numerical simulation for Non-Fickian diffusion into fractured porous rock with the analytical solution. The numerical method developed in this study was also verified with the result
Low thrust transfers to space debris object neighborhood is sufficient for correction deviations of all orbital elements including along-The-Track deviation. Numerical-Analytical
Hydrofoil flow over the interface of a two-layer heavy fluid with a free surface and rigid bottom approximations with the use of a specially developed algorithm and a FORTRAN program. The numerical-analytical
Dynamics of groundwater mounds: Analytical solutions and integral characteristics picture of reference volumes. These characteristics are obtained from numerical solution of a system
Analysis of orbital theories for the construction of the numerical theory of the lunar physical librations to consider when obtaining the analytical solution, are compared. Some reductions had been carried out
Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities plasma. For each of them we prove the local (in time) solubility and perform an analytical- numerical
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