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A Jacobi-collocation method for solving second kind Fredholm integral equations with weakly singular kernels

โœ Scribed by Cai, Hao Tao (author)

Book ID
121840695
Publisher
Science in China Press
Year
2014
Tongue
English
Weight
324 KB
Volume
57
Category
Article
ISSN
1674-7283

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Sinc-collocation methods for weakly sing
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
โœ Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 566 KB

In this paper we propose new numerical methods for linear Fredholm integral equations of the second kind with weakly singular kernels. The methods are developed by means of the Sinc approximation with smoothing transformations, which is an effective technique against the singularities of the equatio