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

Year 2018, Volume: 3 Issue: 3, 173 - 187, 29.12.2018

Dursun Irk Mehmet Ali Mersin

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

Abstract

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.

Keywords

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

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