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Solving the Generalized Regularized Long Wave Equation Using a Distributed Approximating Functional Method
Joint Authors
Source
International Journal of Computational Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The generalized regularized long wave (GRLW) equation is solved numerically by using a distributed approximating functional (DAF) method realized by the regularized Hermite local spectral kernel.
Test problems including propagation of single solitons, interaction of two and three solitons, and conservation properties of mass, energy, and momentum of the GRLW equation are discussed to test the efficiency and accuracy of the method.
Furthermore, using the Maxwellian initial condition, we show that the number of solitons which are generated can be approximately determined.
Comparisons are made between the results of the proposed method, analytical solutions, and numerical methods.
It is found that the method under consideration is a viable alternative to existing numerical methods.
American Psychological Association (APA)
Pindza, Edson& Maré, Eben. 2014. Solving the Generalized Regularized Long Wave Equation Using a Distributed Approximating Functional Method. International Journal of Computational Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-452105
Modern Language Association (MLA)
Pindza, Edson& Maré, Eben. Solving the Generalized Regularized Long Wave Equation Using a Distributed Approximating Functional Method. International Journal of Computational Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-452105
American Medical Association (AMA)
Pindza, Edson& Maré, Eben. Solving the Generalized Regularized Long Wave Equation Using a Distributed Approximating Functional Method. International Journal of Computational Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-452105
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452105