MESHLESS METHOD BASED ON RADIAL BASIS FUNCTIONS FOR GENERAL ROSENAU KdV-RLW EQUATION

Yıl 2018, Cilt: 6 Sayı: 1, 45 - 54, 30.04.2018

Bahar Karaman Yılmaz Dereli

https://doi.org/10.20290/aubtdb.304095

Cited By: 1

Öz

In
the present study, the meshless method based on radial basis functions is
applied for finding the numerical solution of the general Rosenau KdV-RLW
equation. Firstly, Crank-Nicolson and forward finite difference methods are
used for discretization of the unknown function  and its time derivative,
respectively. A linearization technique is applied for the approximate solution
of the equation. Secondly, we calculate the numerical values of invariants of
the motions to examine the fundamental conservative properties of the equation.
Also, the error norms are computed to determine the accuracy of the proposed
method. Linear stability analysis is tested to determine whether the present
method is stable or unstable. The scheme gives unconditionally stable. At the
end of this paper, obtained results indicate the accuracy and applicability of
this method.

Anahtar Kelimeler

Radial Basis Functions, General Rosenau KdV-RLW equation

Kaynakça

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