Collocation with Chebyshev polynomials for Symm's integral equation on an interval
Collocation with Chebyshev polynomials for Symm's integral equation on an interval
Abstract A collocation method for Symm's integral equation on an interval (a first-kind integral equation with logarithmic kernel), in which the basis functions are Chebyshev polynomials multiplied by an appropriate singular function and the collocation points are Chebyshev points, is analysed. The novel feature lies in the analysis, which introduces …