The projection Galerkin method for solving the time-independent differential diffusion equation in a semi-infinite domain

Using the diffusion equation as an example, results of applying the projection Galerkin method for solving time-independent heat and mass transfer equations in a semi-infinite domain are presented. The convergence of the residual corresponding to the approximate solution of the timeindependent diffu...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2017-05, Vol.57 (5), p.802-814
Main Authors: Makarenkov, A. M., Seregina, E. V., Stepovich, M. A.
Format: Article
Language:English
Subjects:
Approximation
Computational Mathematics and Numerical Analysis
Convergence
Differential equations
Diffusion
Galerkin method
Laguerre functions
Mass transfer
Mathematical analysis
Mathematics
Mathematics and Statistics
Projection
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Summary:Using the diffusion equation as an example, results of applying the projection Galerkin method for solving time-independent heat and mass transfer equations in a semi-infinite domain are presented. The convergence of the residual corresponding to the approximate solution of the timeindependent diffusion equation obtained by the projection method using the modified Laguerre functions is proved. Computational results for a two-dimensional toy problem are presented.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542517050074