Simulations of solitary waves of RLW equation by exponential B-spline Galerkin method

作     者：Melis Zorsahin Gorgulu Idris Dag Dursun Irk 

作者机构：Department of Mathematics-ComputerEskisehir Osmangazi University26480EskisehirTurkey Department of Computer EngineeringEskisehir Osmangazi University26480EskisehirTurkey 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2017年第26卷第8期

页      面：24-31页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070102[理学-计算数学] 0704[理学-天文学] 0701[理学-数学] 

基　　金：supported by the Scientific and Technological Research Council of Turkey(Grant No.113F394) 

主　　题：solitary waves exponential B-spline Galerkin method RLW equation 

摘      要：In this paper, an approximate function for the Galerkin method is composed using the combination of the exponential B-spline functions. Regularized long wave equation （RLW） is integrated fully by using an exponential B-spline Galerkin method in space together with Crank-Nicolson method in time. Three numerical examples related to propagation of sin- gle solitary wave, interaction of two solitary waves and wave generation are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.