Numerical Solutions for Weakly Singular Hammerstein Equations and their Superconvergence
Numerical Solutions for Weakly Singular Hammerstein Equations and their Superconvergence
In the recent paper [7], it was shown that the solutions of weakly singular Hammerstein equations satisfy certain regularity properties.Using this result, the optimal convergence rate of a standard piecewise polynomial collocation method and that of the recently proposed collocationtype method of Kumar and Sloan [10] are obtained.Superconvergence of both …