Teirumnieka, Ērika

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Teirumnieka, Ērika
Official Name
Teirumnieka, Ērika
Alternative Name
Ērika Teirumnieka
Erika Teirumnieka
Teirumnieka, Erika
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Email
erika.teirumnieka@rta.lv
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Scopus Author ID
56323862400
Researcher ID
EBG-0589-2022

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  • Publication
    SPECIAL SPLINE APPROXIMATION FOR THE SOLUTION OF THE NON-STATIONARY 3-D MASS TRANSFER PROBLEM
    (2021)
    Kangro, Ilmārs 
    ;
    Harijs Kalis
    ;
    Teirumnieks, Edmunds 
    ;
    Teirumnieka, Ērika 
    In this paper we consider the conservative averaging method (CAM) with special spline approximation for solving the non-stationary 3-D mass transfer problem. The special hyperbolic type spline, which interpolates the middle integral values of piece-wise smooth function is used. With the help of these splines the initial-boundary value problem (IBVP) of mathematical physics in 3-D domain with respect to one coordinate is reduced to problems for system of equations in 2-D domain. This procedure allows reduce also the 2-D problem to a 1-D problem and thus the solution of the approximated problem can be obtained analytically. The accuracy of the approximated solution for the special 1-D IBVP is compared with the exact solution of the studied problem obtained with the Fourier series method. The numerical solution is compared with the spline solution. The above-mentioned method has extensive physical applications, related to mass and heat transfer problems in 3-D domains.