Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method

Joint Authors

Singh, Randhir
Kumar, Jitendra
Nelakanti, Gnaneshwar

Source

The Scientific World Journal

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-01-20

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Medicine
Information Technology and Computer Science

Abstract EN

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.

American Psychological Association (APA)

Singh, Randhir& Nelakanti, Gnaneshwar& Kumar, Jitendra. 2014. Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1048484

Modern Language Association (MLA)

Singh, Randhir…[et al.]. Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method. The Scientific World Journal No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1048484

American Medical Association (AMA)

Singh, Randhir& Nelakanti, Gnaneshwar& Kumar, Jitendra. Approximate Solution of Urysohn Integral Equations Using the Adomian Decomposition Method. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1048484

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1048484