Open AccessCubic B-Spline Quasi-Interpolation Method For Regularized Long Wave Equation
Author(s) -
Dursun Irk,
Mehmet Ali Mersin
Publication year - 2018
Publication title -
journal of engineering technology and applied sciences
Language(s) - English
Resource type - Journals
ISSN - 2548-0391
DOI - 10.30931/jetas.448622
Subject(s) - spline interpolation , interpolation (computer graphics) , mathematical analysis , mathematics , b spline , spline (mechanical) , wave equation , crank–nicolson method , partial differential equation , motion (physics) , numerical analysis , physics , classical mechanics , bilinear interpolation , thermodynamics , statistics
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom