title: Approximate solution of Urysohn integral equations using the Adomian decomposition method.
abstract: We apply Adomian decomposition method (ADM) for obtaining approximate series solution of Urysohn integral equations. The ADM provides a direct recursive scheme for solving such problems approximately. The approximations of the solution are obtained in the form of series with easily calculable components. Furthermore, we also discuss the convergence and error analysis of the ADM. Moreover, three numerical examples are included to demonstrate the accuracy and applicability of the method.
authors.affiliation: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
authors.forename: Randhir
authors.identifier: 0000-0003-0283-3754
authors.initials: R
authors.lastname: Singh
authors.affiliation: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
authors.forename: Gnaneshwar
authors.identifier: 0000-0002-5247-9696
authors.initials: G
authors.lastname: Nelakanti
authors.affiliation: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
authors.forename: Jitendra
authors.identifier: 0000-0002-8065-7269
authors.initials: J
authors.lastname: Kumar
mesh_terms: D008962:Models, Theoretical