A Fourth Order Finite Difference Method for the Good Boussinesq Equation
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The “good” Boussinesq equation is transformed into a first order differential system.
A fourth order finite difference scheme is derived for this system.
The resulting scheme is analyzed for accuracy and stability.
Newton’s method and linearization techniques are used to solve the resulting nonlinear system.
The exact solution and the conserved quantity are used to assess the accuracy and the efficiency of the derived method.
Head-on and overtaking interactions of two solitons are also considered.
The numerical results reveal the good performance of the derived method.
American Psychological Association (APA)
Ismail, M. S.& Mosally, Farida. 2014. A Fourth Order Finite Difference Method for the Good Boussinesq Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033689
Modern Language Association (MLA)
Ismail, M. S.& Mosally, Farida. A Fourth Order Finite Difference Method for the Good Boussinesq Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033689
American Medical Association (AMA)
Ismail, M. S.& Mosally, Farida. A Fourth Order Finite Difference Method for the Good Boussinesq Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033689
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033689