Error analysis of polynomial-based multi-projection methods for a class of nonlinear Fredholm integral equations

摘要

AbstractIn this paper, we consider the multi-Galerkin and multi-collocation methods for solving the Urysohn integral equation with a smooth kernel, using Legendre polynomial basis functions. Superconvergence results for the approximate and iterated approximate solutions of the proposed methods are obtained in both infinity and$$L^2$$L2-norm. Numerical examples are presented to illustrate the theoretical results.]]>