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Element-Free Approximation of Generalized Regularized Long Wave Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-29
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The generalized regularized long wave (GRLW) equation is an important nonlinear equation for describing a large number of physical phenomena, for examples, the shallow water waves and plasma waves.
In this study, numerical approximation of the GRLW using the element-free improved moving least-squares Ritz (IMLS-Ritz) method is performed.
In the solution procedure, the IMLS approximation is employed to reduce the number of unknown coefficients in the trial functions.
The Ritz minimization procedure is then used to derive the final algebraic equation system through discretizing the constructed energy formulation of the nonlinear GRLW equation.
Time difference technique and Newton-Raphson method are adopted to solve the nonlinear equation system.
Numerical experiments are conducted on the final form of the governing equation system to demonstrate the accuracy and efficiency of the element-free IMLS-Ritz method by comparing the computed IMLS-Ritz results with the existing available analytical solutions.
American Psychological Association (APA)
Huang, Dong-Mei& Zhang, L. W.. 2014. Element-Free Approximation of Generalized Regularized Long Wave Equation. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044085
Modern Language Association (MLA)
Huang, Dong-Mei& Zhang, L. W.. Element-Free Approximation of Generalized Regularized Long Wave Equation. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1044085
American Medical Association (AMA)
Huang, Dong-Mei& Zhang, L. W.. Element-Free Approximation of Generalized Regularized Long Wave Equation. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044085
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044085