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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 12, Pages 2163–2179 (Mi zvmmf71)  
This article is cited in 3 scientific papers (total in 3 papers)

Wavelet method for solving the unsteady porous-medium flow problem with discontinuous coefficients

E. m. Abbasov, O. A. Dyshin, B. A. Suleimanov

Neftegasproekt, pr. Zardabi 88, Baku, 370112, Azerbaijan
Full-text PDF (1820 kB) Citations (3)
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Abstract: A method is proposed for constructing stable approximate wavelet decompositions of weak solutions to boundary value problems for the unsteady porous-medium flow equation with discontinuous coefficients and inexact data. The method is based on the general scheme for finite-dimensional approximation in Tikhonov regularization and on multiresolution analysis with basis functions defined as the product of one-dimensional Daubechies wavelets.
Key words: weak solution to boundary value problems of unsteady porous-medium flow, distributional derivative, wavelet transform, regular multiresolution analysis.
Received: 15.11.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 12, Pages 2194–2210
DOI: https://doi.org/10.1134/S0965542508120099
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: E. M. Abbasov, O. A. Dyshin, B. A. Suleimanov, “Wavelet method for solving the unsteady porous-medium flow problem with discontinuous coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008), 2163–2179; Comput. Math. Math. Phys., 48:12 (2008), 2194–2210
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:87
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