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Cosine expansion‐based differential quadrature algorithm for numerical solution of the RLW equation
Author(s) -
Dağ İdris,
Korkmaz Alper,
Saka Bülent
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20446
Subject(s) - mathematics , quadrature (astronomy) , mathematical analysis , trigonometric functions , differential (mechanical device) , nyström method , geometry , integral equation , physics , optics , thermodynamics
The differential quadrature method based on cosine expansion is applied to obtain numerical solutions of the RLW equation. The propagation of single solitary wave is studied to validate the efficiency of the algorithm. Then, test problems including interaction of two and three solitary waves, undulation, and evolution of solitary waves are implemented. Solutions are compared with earlier results. Discrete conservation quantities are computed for test experiments. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009