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Numerical solutions of the Kawahara type equations using radial basis functions
Author(s) -
Dereli Yilmaz,
Dağ Idris
Publication year - 2012
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.20633
Subject(s) - mathematics , radial basis function , collocation (remote sensing) , partial differential equation , collocation method , type (biology) , orthogonal collocation , basis (linear algebra) , korteweg–de vries equation , mathematical analysis , differential equation , nonlinear system , ordinary differential equation , geometry , computer science , physics , machine learning , quantum mechanics , artificial neural network , ecology , biology
This study is carried out to investigate the numerical solutions of the Kawahara, KdV‐Kawahara, and the modified Kawahara equations by using the meshless method based on collocation with radial basis functions. Results of the meshless method with different radial basis functions are presented for the travelling wave solution of the Kawahara type equations. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 542–553, 2012