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Applications of variational iteration method for solving a class of volterra integral equations
Joint Authors
al-Ramahi, Adil Muhammad Hasan Rizq
Kadum, Rad M.
Miji, Muhammad Sahib
Source
Journal of Babylon University : Journal of Applied and Pure Sciences
Issue
Vol. 24, Issue 9 (31 Dec. 2016), pp.2431-2443, 13 p.
Publisher
Publication Date
2016-12-31
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Abstract EN
In this paper, one type of Volterra integral equations (VIEs) is classified as nth-order VIE of fourth- kind.
This class of nth-order, fourth-kind VIE usually occurs in many fields of physics and engineering.
A new iteration technique is proposed to solve a class of Volterra integral equations.
The nth-order VIE of fourth-kind is converted to nth-order ordinary differential equation (ODE).
The ODE is solved by using variational iteration method (VIM).
It shows that the variational iteration method (VIM) is efficient and powerful integrator for dealing with this class of integral equations.
Some examples are solved to illustrate the effectiveness and simplicity of the proposed method.The comparison of the results using VIM with analytical solutions reveals that VIM is very effective, convenient and quite accurate to both linear and nonlinear problems.
American Psychological Association (APA)
Miji, Muhammad Sahib& al-Ramahi, Adil Muhammad Hasan Rizq& Kadum, Rad M.. 2016. Applications of variational iteration method for solving a class of volterra integral equations. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 24, no. 9, pp.2431-2443.
https://search.emarefa.net/detail/BIM-1314668
Modern Language Association (MLA)
Miji, Muhammad Sahib…[et al.]. Applications of variational iteration method for solving a class of volterra integral equations. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 24, no. 9 (2016), pp.2431-2443.
https://search.emarefa.net/detail/BIM-1314668
American Medical Association (AMA)
Miji, Muhammad Sahib& al-Ramahi, Adil Muhammad Hasan Rizq& Kadum, Rad M.. Applications of variational iteration method for solving a class of volterra integral equations. Journal of Babylon University : Journal of Applied and Pure Sciences. 2016. Vol. 24, no. 9, pp.2431-2443.
https://search.emarefa.net/detail/BIM-1314668
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in English and Arabic.
Record ID
BIM-1314668