Cubic Trigonometric B-spline Galerkin Methods for the Regularized Long Wave Equation

International Conference on Quantum Science and Applications 2016

Irk, Dursun^1 ; Keskin, Pinar^1

Eskisehir Osmangazi University, Department of Mathematics-Computer, Eskisehir

26480, Turkey^1

关键词: B spline functions;    Crank-Nicolson methods;    Galerkin finite element methods;    Linearization technique;    Numerical solution;    Regularized long wave equation;    Space integrations;    Time integration;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012032/pdf
DOI  :  10.1088/1742-6596/766/1/012032

来源: IOP

【 摘 要 】

A numerical solution of the Regularized Long Wave (RLW) equation is obtained using Galerkin finite element method, based on Crank Nicolson method for the time integration and cubic trigonometric B-spline functions for the space integration. After two different linearization techniques are applied, the proposed algorithms are tested on the problems of propagation of a solitary wave and interaction of two solitary waves.