Title: Projection methods for approximate solution of a class of nonlinear Fredholm integrodifferential equations

Authors: Moumita Mandal, Arnab Kayal and Gnaneshwar Nelakanti

Journal: Applied Numerical Mathematics

Volume: 184

Year: 2022

Publisher: Elsevier

DOI: Projection methods for approximate solution of a class of nonlinear Fredholm integrodifferential equations

Abstract: The aim of this article is to find the approximate solution of the nonlinear Fredholm integro-differential equations of second kind with smooth kernels with less computational complexity and investigate the asymptotic behavior of convergence of the approximate solutions by using global polynomials based projection methods. We develop the theoretical framework for the nonlinear Fredholm integro-differential equations to obtain the super-convergence results by Legendre polynomial based projection methods and their iterated versions. Numerical examples are considered to demonstrate the theoretical results.