An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method
Joint Authors
Karakoç, Seydi Battal Gazi
Ak, Turgut
Zeybek, Halil
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-21
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A septic B-spline collocation method is implemented to find the numerical solution of the modified regularized long wave (MRLW) equation.
Three test problems including the single soliton and interaction of two and three solitons are studied to validate the proposed method by calculating the error norms L 2 and L ∞ and the invariants I 1 , I 2 , and I 3 .
Also, we have studied the Maxwellian initial condition pulse.
The numerical results obtained by the method show that the present method is accurate and efficient.
Results are compared with some earlier results given in the literature.
A linear stability analysis of the method is also investigated.
American Psychological Association (APA)
Karakoç, Seydi Battal Gazi& Ak, Turgut& Zeybek, Halil. 2014. An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1033860
Modern Language Association (MLA)
Karakoç, Seydi Battal Gazi…[et al.]. An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method. Abstract and Applied Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1033860
American Medical Association (AMA)
Karakoç, Seydi Battal Gazi& Ak, Turgut& Zeybek, Halil. An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1033860
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033860
