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Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications to calculations of shadows agreement between the numerical solutions and analytical approximations has been found.
Hardy spaces, approximation issues and boundary value problems, the solvability of the Dirichlet problem is established, while its solution with its derivatives are estimated
Construction of Solutions for the First Elasticity Problem for Noncircular Domain smooth boundary by an approximate solution of the Fredholm equation. Consider the problem
Self-force on a scalar point charge in the long throat. The method is based on the approximate WKB solution of a radial mode equation for a scalar field. This field
Heat Flux on the Bore-Face and Temperature Distribution in the Formation of the approximate solution is validated by comparison with an exact analytical solution found by Carslaw and Jaeger.
Heat flow rate at a bore-face and temperature in the multi-layer media surrounding a borehole are obtained. The accuracy of the approximate solution is validated by comparison with the exact analytical
On the equivalence of approximate stationary axially symmetric solutions of the Einstein field equations rotation and slight deformation. We derive explicitly the exterior Sedrakyan–Chubaryan approximate solution
Heat Flux on the Bore-Face and Temperature Distribution in the Formation of the approximate solution is validated by comparison with an exact analytical solution found by Carslaw and Jaeger.
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
The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains an approximate solution of the two-dimensional Laplace equation in an arbitrary doubly connected domain
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