Aitken’s on method of successive substitutions for solving a system of Volterra-Fredholm integral equations of the second kind

Joint Authors

Hasan, Talhat Ismail
Salih, Shahir al-Din
Sulayman, Najm al-Din Abd Allah

Source

ZANCO Journal of Pure and Applied Sciences

Publisher

Salahaddin University-Erbil Department of Scientific Publications

Publication Date

2016-06-30

Country of Publication

Iraq

No. of Pages

12

Main Subjects

Mathematics

English Abstract

In this paper, we consider the linear system of Volterra-Fredholm integral equations of the second kind (SVFIE-2).

We proposed method of successive substitutions (MSS) to solve SVFIE-2 and Aitken method on method of successive substitutions (AM on MSS) for solving the problem.

In addition, a few theorems and two new algorithms are introduced.

They are supported by numerical examples and simulations using Matlab.

The results are very reasonably good when compared with the exact solution.

Data Type

Conference Papers

Record ID

BIM-787498

American Psychological Association (APA)

Hasan, Talhat Ismail& Salih, Shahir al-Din& Sulayman, Najm al-Din Abd Allah. 2016-06-30. Aitken’s on method of successive substitutions for solving a system of Volterra-Fredholm integral equations of the second kind. International Conference on Engineering and Innovative Technology (1st : 2016 : Erbil, Iraq). . Vol. 28, no. 2 (Supplement) (2016), pp.637-648.Irbil Iraq : Salahaddin University-Erbil Department of Scientific Publications.
https://search.emarefa.net/detail/BIM-787498

Modern Language Association (MLA)

Hasan, Talhat Ismail…[et al.]. Aitken’s on method of successive substitutions for solving a system of Volterra-Fredholm integral equations of the second kind. . Irbil Iraq : Salahaddin University-Erbil Department of Scientific Publications. 2016-06-30.
https://search.emarefa.net/detail/BIM-787498

American Medical Association (AMA)

Hasan, Talhat Ismail& Salih, Shahir al-Din& Sulayman, Najm al-Din Abd Allah. Aitken’s on method of successive substitutions for solving a system of Volterra-Fredholm integral equations of the second kind. . International Conference on Engineering and Innovative Technology (1st : 2016 : Erbil, Iraq).
https://search.emarefa.net/detail/BIM-787498