Resumen de Galerkin solution of a singular integral equation with constant coefficients

Yafang Gong

• 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.