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Kangro, Ilmārs
Preferred name
Kangro, Ilmārs
Official Name
Kangro, Ilmārs
Alternative Name
Ilmārs Kangro
Ilmars Kangro
Kangro, Ilmars
Kangro, I
Email
ilmars.kangro@rta.lv
Scopus Author ID
15730880700
Researcher ID
FZT-0875-2022
Research Output
Now showing 1 - 1 of 1
- PublicationThe analytical solution of the 3D model with Robin's boundary conditions for 2 peat layers(2015)
; ; ; Harijs KalisIn this paper we consider averaging methods for solving the 3-D boundary value problem in domain containing 2 layers of the peat block. We consider the metal concentration in the peat blocks. Using experimental data the mathematical model for calculation of concentration of metal in different points in every peat layer is developed. A specific feature of these problems is that it is necessary to solve the 3-D boundary-value problems for elliptic type partial differential equations of second order with piece-wise diffusion coefficients in every direction and peat layers. The special parabolic and exponential spline, which interpolation middle integral values of piece-wise smooth function, are considered. With the help of this splines is reduce the problems of mathematical physics in 3-D with piece-wise coefficients to respect one coordinate to problems for system of equations in 2-D. This procedure allows reduce the 3-D problem to a problem of 2-D and 1-D problems and the solution of the approximated problem is obtained analytically. The solution of corresponding averaged 2-D initial-boundary value problem is obtained also numerically, using for approach differential equations the discretization in space applying the central differences. The approximation of the 2-D non-stationary problem is based on the implicit finite-difference and alternating direction (ADI) methods. The numerical solution is compared with the analytical solution.Scopus© Citations 3