Galerkin solution of a singular integral equation with constant coefficients

✍ Scribed by Yafang Gong

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 470 KB
• Volume: 230
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2008.12.005

✦ Synopsis

Galerkin methods are used to approximate the singular integral equation

with solution ϕ having weak singularity at the endpoint -1, where a, b = 0 are constants.

In this case ϕ is decomposed as ϕ

2α -< µ < 1, the error estimate under maximum norm is proved to be O(n 2α--µ+ ), where = min{α, 1 2 }, > 0 is a small enough constant.