Galerkin solution of a singular integral equation with constant coefficients

• Autores: Yafang Gong
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 2, 2009, págs. 393-399
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.12.005
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• Resumen

  • Galerkin methods are used to approximate the singular integral equation with solution f having weak singularity at the endpoint -1, where a, b?0 are constants. In this case f is decomposed as f(x)=(1-x)a(1+x)ßu(x), where ß=-a, 00 is a small enough constant.