Cubic B-Spline Quasi-Interpolation Method For Regularized Long Wave Equation

Yıl 2018, , 173 - 187, 29.12.2018

Dursun Irk , Mehmet Ali Mersin

https://doi.org/10.30931/jetas.448622

Öz

In this study, we present a numerical method to solve the Regularized Long Wave (RLW) equation,
based on cubic B-spline quasi-interpolation for the space integration and Crank-Nicolson method
for the time integration. The method is tested on the problems of propagation of a solitary wave
and interaction of two solitary waves. The three conservation quantities of the motion are calculated
to determine the conservation properties of the proposed algorithm.

Anahtar Kelimeler

Finite element method, B-spline, Solitary wave, Regularized Long Wave equation

Kaynakça

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