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Vychisl. Metody Programm., 2012, Volume 13, Issue 1, Pages 239–246 (Mi vmp25)  

Вычислительные методы и приложения

Speedup of computation when solving the nonhomogeneous diffusion equation by a renormalization method

S. S. Makarov, A. V. Isaeva, E. A. Grachev, M. L. Serdobol'skaya

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: A new approximate method of solving an initial-boundary value problem for the nonhomogeneous diffusion equation is proposed. This method is useful in the case when the solution should be found in a region smaller than the support of the source function. The procedure of renormalization of sources in regions far from the region of interest is considered. It is shown how this procedure can decrease the computational costs when solving the initial-boundary value problem. The efficiency of the proposed method is estimated. The dependence of errors of this method on its parameters is analyzed in the case of a two-dimensional region.

Keywords: diffusion equation; numerical methods; renormalization

Full text: PDF file (271 kB)
UDC: 519.634
Received: 09.02.2012

Citation: S. S. Makarov, A. V. Isaeva, E. A. Grachev, M. L. Serdobol'skaya, “Speedup of computation when solving the nonhomogeneous diffusion equation by a renormalization method”, Vychisl. Metody Programm., 13:1 (2012), 239–246

Citation in format AMSBIB
\Bibitem{MakIsaGra12}
\by S.~S.~Makarov, A.~V.~Isaeva, E.~A.~Grachev, M.~L.~Serdobol'skaya
\paper Speedup of computation when solving the nonhomogeneous diffusion equation by a renormalization method
\jour Vychisl. Metody Programm.
\yr 2012
\vol 13
\issue 1
\pages 239--246
\mathnet{http://mi.mathnet.ru/vmp25}


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