Adomian decomposition method applied to nonlinear integral equations
Author
Source
Alexandria Journal of Mathematics
Issue
Vol. 1, Issue 1 (30 Jun. 2010), pp.11-18, 8 p.
Publisher
Amgad Society for Developing the Community and Protecting the Environment
Publication Date
2010-06-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Engineering & Technology Sciences (Multidisciplinary)
Abstract EN
-Our main objective in this paper is to study the accuracy, applicability and simplicity of Adomian method applied to non linear integral equations.
In this work, we introduced a result obtained by the linearization method applied on a selected non-linear integral equation.
Then, we compared this result against a result, we obtained by the Adomian decomposition method.
This comparison study, showed the applicability and the accuracy of Adomian decomposition method comparing with the linearization method, even when the accuracy of linearization method improved by employing variable steps.
This study showed also, that the simplicity and the speed of the convergent of Adomian decomposition method is depended on the initial choice of 0 y .
American Psychological Association (APA)
Abd al-Wahid, Fawzi. 2010. Adomian decomposition method applied to nonlinear integral equations. Alexandria Journal of Mathematics،Vol. 1, no. 1, pp.11-18.
https://search.emarefa.net/detail/BIM-760821
Modern Language Association (MLA)
Abd al-Wahid, Fawzi. Adomian decomposition method applied to nonlinear integral equations. Alexandria Journal of Mathematics Vol. 1, no. 1 (Jun. 2010), pp.11-18.
https://search.emarefa.net/detail/BIM-760821
American Medical Association (AMA)
Abd al-Wahid, Fawzi. Adomian decomposition method applied to nonlinear integral equations. Alexandria Journal of Mathematics. 2010. Vol. 1, no. 1, pp.11-18.
https://search.emarefa.net/detail/BIM-760821
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 18
Record ID
BIM-760821