Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method

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 compon...

Descripción completa

Detalles Bibliográficos
Autores principales: Singh, Randhir, Nelakanti, Gnaneshwar, Kumar, Jitendra
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3918365/
https://www.ncbi.nlm.nih.gov/pubmed/24574865
http://dx.doi.org/10.1155/2014/150483
Descripción
Sumario: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.

Ejemplares similares