Fast spectral Galerkin method for logarithmic singular equations on a segment

We present a fast Galerkin spectral method to solve logarithmic singular equations on segments. The proposed method uses weighted first-kind Chebyshev polynomials. Convergence rates of several orders are obtained for fractional Sobolev spaces He−1/2 (or H−1/200 ). Main tools are the approximation pr...

Full description

Bibliographic Details
Main Authors: Jerez-Hanckes, C, Nicaise, S, Urzua-Torres, C
Format: Journal article
Published: Global Science Press 2017