Reliable iterative methods for 1D Swift-Hohenberg equation
Joint Authors
al-Jawari, Majid Ahmad
Salih, Uthman Mahdi
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 27, Issue 1 (30 Jun. 2020), pp.0-11, 12 p.
Publisher
University of Bahrain College of Science
Publication Date
2020-06-30
Country of Publication
Bahrain
No. of Pages
12
Main Subjects
Abstract EN
In this paper, the nonlinear problem of the 1 D Swift-Hohenberg equation (S-HE) has been solved by using five reliable iterative methods.
The first one is the Daftardar-Jafari method namely (DJM), the second method is the Temimi-Ansari method namely (TAM), the third method is the Banach contraction method namely (BCM), the fourth method is the Adomian decomposition method namely (ADM) and finally the fifth method is the Variational iteration method (VIM) to obtain the approximate solutions.
In this work, we discussed and applied these iterative methods to solve the S-HE and compared them.
In addition, the fixed-point theorem was given to illustrate the convergence of the five methods.
To illustrate the accuracy and efficiency of the five methods, the maximum error remainder was calculated since the exact solution is unknown.
The results showed that the five iterative methods are accurate, reliable, time saver and effective.
All the iterative processes in this paper implemented in MATHEMATICA®11.
American Psychological Association (APA)
al-Jawari, Majid Ahmad& Salih, Uthman Mahdi. 2020. Reliable iterative methods for 1D Swift-Hohenberg equation. Arab Journal of Basic and Applied Sciences،Vol. 27, no. 1, pp.0-11.
https://search.emarefa.net/detail/BIM-957374
Modern Language Association (MLA)
al-Jawari, Majid Ahmad& Salih, Uthman Mahdi. Reliable iterative methods for 1D Swift-Hohenberg equation. Arab Journal of Basic and Applied Sciences Vol. 27, no. 1 (2020), pp.0-11.
https://search.emarefa.net/detail/BIM-957374
American Medical Association (AMA)
al-Jawari, Majid Ahmad& Salih, Uthman Mahdi. Reliable iterative methods for 1D Swift-Hohenberg equation. Arab Journal of Basic and Applied Sciences. 2020. Vol. 27, no. 1, pp.0-11.
https://search.emarefa.net/detail/BIM-957374
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 10-11
Record ID
BIM-957374