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

作　　者：Melis Zorsahin Gorgulu Idris Dag Dursun Irk 

机构地区：[1]Department of Mathematics-Computer,Eskisehir Osmangazi University,26480,Eskisehir,Turkey [2]Department of Computer Engineering,Eskisehir Osmangazi University,26480,Eskisehir,Turkey

出　　处：《Chinese Physics B》2017年第8期24-31,共8页中国物理B（英文版）

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

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.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.

关 键 词：solitary waves exponential B-spline Galerkin method RLW equation 

分 类 号：O241.8[理学—计算数学]