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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 4, Page 696 (Mi zvmmf9687)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space $C^\alpha([a,b])$

A. Babaaghaie, H. Mesgarani

Department of mathematics, University of Shahid rajaee, Lawizan, Tehran, Iran
Full-text PDF (93 kB) Citations (2)
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Abstract: In this article, we employ trigonometric wavelet bases to numerical solution of Fredholm integral equations of first kind in Holder space. Employment of Galerkin method for trigonometric wavelets in Fredholm integral equations of first kind has resulted in occurrence of two-dimensional trigonometric wavelets. Here, we present the convergence of two-dimensional trigonometric wavelets in numerical solution in Holder space $C^\alpha([a,b])$
Key words: Keywords: Fredholm integral equation of first kind; Galerkin method; scaling function; two-dimensional wavelet convergence; trigonometric wavelets.
Received: 15.12.2010
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 4, Pages 601–614
DOI: https://doi.org/10.1134/S0965542512040045
Bibliographic databases:
Document Type: Article
UDC: 519.642.3
Language: English
Citation: A. Babaaghaie, H. Mesgarani, “Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space $C^\alpha([a,b])$”, Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012), 696; Comput. Math. Math. Phys., 52:4 (2012), 601–614
Citation in format AMSBIB
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\paper Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space $C^\alpha([a,b])$
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 52
\issue 4
\pages 696
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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