Abstract
In 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 \(L^2\)-norm. Numerical examples are presented to illustrate the theoretical results.
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Das, P., Nelakanti, G. Error analysis of polynomial-based multi-projection methods for a class of nonlinear Fredholm integral equations. J. Appl. Math. Comput. 56, 1–24 (2018). https://doi.org/10.1007/s12190-016-1059-y
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DOI: https://doi.org/10.1007/s12190-016-1059-y