An efficient numerical method for the modified regularized long wave equation using Fourier spectral method
Author
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 24, Issue 0 (31 Oct. 2017), pp.198-205, 8 p.
Publisher
University of Bahrain College of Science
Publication Date
2017-10-31
Country of Publication
Bahrain
No. of Pages
8
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
The modified regularized long wave (MRLW) equation is numerically solved using Fourier spectral collection method.
The MRLW equation is discretized in space variable by the Fourier spectral method and Leap-Frog method for time dependence.
To validate the efficiency, accuracy and simplicity of the used method, four cases study are solved.
The single soliton wave motion, interaction of two solitary waves, interaction of three solitary waves and a Maxwellian initial condition pulse are studied.
The L2 and L1 error norms are computed for the motion of single solitary waves.
To determine the conservation properties of the MRLW equation three invariants of motion are evaluated for all test problems.
American Psychological Association (APA)
Hasan, Hani N.. 2017. An efficient numerical method for the modified regularized long wave equation using Fourier spectral method. Arab Journal of Basic and Applied Sciences،Vol. 24, no. 0, pp.198-205.
https://search.emarefa.net/detail/BIM-760616
Modern Language Association (MLA)
Hasan, Hani N.. An efficient numerical method for the modified regularized long wave equation using Fourier spectral method. Arab Journal of Basic and Applied Sciences Vol. 24 (Oct. 2017), pp.198-205.
https://search.emarefa.net/detail/BIM-760616
American Medical Association (AMA)
Hasan, Hani N.. An efficient numerical method for the modified regularized long wave equation using Fourier spectral method. Arab Journal of Basic and Applied Sciences. 2017. Vol. 24, no. 0, pp.198-205.
https://search.emarefa.net/detail/BIM-760616
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 204-205
Record ID
BIM-760616