TY  - JOUR
T1  - MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION
AU  - Karaman, Bahar
AU  - Dereli, Yılmaz
PY  - 2018
DA  - April
DO  - 10.20290/aubtdb.304095
JF  - Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler
JO  - AUBTD-B
PB  - Eskişehir Teknik Üniversitesi
WT  - DergiPark
SN  - 2146-0272
SP  - 45
EP  - 54
VL  - 6
IS  - 1
LA  - en
AB  - Inthe present study, the meshless method based on radial basis functions isapplied for finding the numerical solution of the general Rosenau KdV-RLWequation. Firstly, Crank-Nicolson and forward finite difference methods areused for discretization of the unknown function and its time derivative,respectively. A linearization technique is applied for the approximate solutionof the equation. Secondly, we calculate the numerical values of invariants ofthe motions to examine the fundamental conservative properties of the equation.Also, the error norms are computed to determine the accuracy of the proposedmethod. Linear stability analysis is tested to determine whether the presentmethod is stable or unstable. The scheme gives unconditionally stable. At theend of this paper, obtained results indicate the accuracy and applicability ofthis method.
KW  - Radial Basis Functions
KW  - General Rosenau KdV-RLW equation
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UR  - https://doi.org/10.20290/aubtdb.304095
L1  - https://dergipark.org.tr/tr/download/article-file/452092
ER  -