Galerkin solution of a singular integral
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Yafang Gong
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Article
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2009
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Elsevier Science
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English
โ 470 KB
Galerkin methods are used to approximate the singular integral equation with solution ฯ having weak singularity at the endpoint -1, where a, b = 0 are constants. In this case ฯ is decomposed as ฯ 2ฮฑ -< ยต < 1, the error estimate under maximum norm is proved to be O(n 2ฮฑ--ยต+ ), where = min{ฮฑ, 1 2 }