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

doi:10.1088/1674-1056/26/8/080202

中国物理B ›› 2017, Vol. 26 ›› Issue (8): 80202-080202.doi: 10.1088/1674-1056/26/8/080202

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

Melis Zorsahin Gorgulu, Idris Dag, Dursun Irk

1 Department of Mathematics-Computer, Eskisehir Osmangazi University, 26480, Eskisehir, Turkey;
2 Department of Computer Engineering, Eskisehir Osmangazi University, 26480, Eskisehir, Turkey

收稿日期:2017-01-13 修回日期:2017-03-20 出版日期:2017-08-05 发布日期:2017-08-05
通讯作者: Melis Zorsahin Gorgulu E-mail:mzorsahin@ogu.edu.tr
基金资助:
Project supported by the Scientific and Technological Research Council of Turkey (Grant No. 113F394).

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

Melis Zorsahin Gorgulu¹, Idris Dag², Dursun Irk¹

1 Department of Mathematics-Computer, Eskisehir Osmangazi University, 26480, Eskisehir, Turkey;
2 Department of Computer Engineering, Eskisehir Osmangazi University, 26480, Eskisehir, Turkey

Received:2017-01-13 Revised:2017-03-20 Online:2017-08-05 Published:2017-08-05
Contact: Melis Zorsahin Gorgulu E-mail:mzorsahin@ogu.edu.tr
About author:0.1088/1674-1056/26/8/
Supported by:
Project supported by the Scientific and Technological Research Council of Turkey (Grant No. 113F394).

摘要/Abstract

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 single 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

Abstract:

Key words: solitary waves, exponential B-spline, Galerkin method, RLW equation

中图分类号: (Partial differential equations)

02.30.Jr

02.70.Dh (Finite-element and Galerkin methods) 47.35.Fg (Solitary waves) 04.30.Nk (Wave propagation and interactions)

Melis Zorsahin Gorgulu,Idris Dag,Dursun Irk. Simulations of solitary waves of RLW equation by exponential B-spline Galerkin method[J]. 中国物理B, 2017, 26(8): 80202-080202.

Melis Zorsahin Gorgulu, Idris Dag, Dursun Irk. Simulations of solitary waves of RLW equation by exponential B-spline Galerkin method[J]. Chin. Phys. B, 2017, 26(8): 80202-080202.

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

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

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