Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The equal width (EW) equation governs nonlinear wave phenomena like waves in shallow water.
Numerical solution of the (EW) equation is obtained by using the method of lines (MOL) based on Runge-Kutta integration.
Using von Neumann stability analysis, the scheme is found to be unconditionally stable.
Solitary wave motion and interaction of two solitary waves are studied using the proposed method.
The three invariants of the motion are evaluated to determine the conservation properties of the generated scheme.
Accuracy of the proposed method is discussed by computing the L2 and L∞ error norms.
The results are found in good agreement with exact solution.
American Psychological Association (APA)
Banaja, M. A.& Bakodah, Huda O.. 2015. Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073379
Modern Language Association (MLA)
Banaja, M. A.& Bakodah, Huda O.. Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073379
American Medical Association (AMA)
Banaja, M. A.& Bakodah, Huda O.. Runge-Kutta Integration of the Equal Width Wave Equation Using the Method of Lines. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073379
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073379
