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B‐spline collocation algorithms for numerical solution of the RLW equation
Author(s) -
Saka Bülent,
Şahin Ali,
Dağ İdris
Publication year - 2011
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.20540
Subject(s) - mathematics , collocation (remote sensing) , b spline , collocation method , spline (mechanical) , algorithm , mathematical analysis , computer science , differential equation , structural engineering , ordinary differential equation , machine learning , engineering
Both sextic and septic B‐spline collocation algorithms are presented for the numerical solutions of the RLW equation. Numerical results resolve the fine structure of the single solitary wave propagation, two and three solitary waves interaction, and evolution of solitary waves. Comparison of the numerical results is done by the results of some earlier schemes mentioned in the article. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 581–607, 2011