A new approach on numerical solutions of the Improved Boussinesq type equation using quadratic B-spline Galerkin finite element method

被引:11
|
作者
Ucar, Y. [1 ]
Karaagac, B. [1 ]
Esen, A. [1 ]
机构
[1] Inonu Univ, Dept Math, Fac Arts & Sci, TR-44280 Malatya, Turkey
关键词
Improved Boussinesq type equation; Galerkin finite element method; Quadratic B-spline; Solitary waves; Interaction; SCHEME;
D O I
10.1016/j.amc.2015.08.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present manuscript, some numerical solutions of an Improved Boussinesq type equation are obtained by means of quadratic B-spline Galerkin finite element method. Then, error norms L-2 and L-infinity have been calculated to test the accuracy of the current method. In the manuscript, solitary wave movement and interaction of solitary-antisolitary waves are considered as test problems. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:148 / 155
页数:8
相关论文
共 50 条
  • [1] Numerical Solutions of the Improved Boussinesq Equation by the Galerkin Quadratic B-Spline Finite Element Method
    Karaagac, Berat
    Ucar, Yusuf
    Esen, Alaattin
    [J]. FILOMAT, 2018, 32 (16) : 5573 - 5583
  • [2] Numerical solutions of the coupled Burgers' equation by the Galerkin quadratic B-spline finite element method
    Kutluay, S.
    Ucar, Y.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (17) : 2403 - 2415
  • [3] Linear B-spline finite element method for the improved Boussinesq equation
    Lin, Qun
    Wu, Yong Hong
    Loxton, Ryan
    Lai, Shaoyong
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (02) : 658 - 667
  • [4] Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method
    Karakoc, Seydi Battal Gazi
    Ucar, Yusuf
    Yagmurlu, Nurimurat
    [J]. KUWAIT JOURNAL OF SCIENCE, 2015, 42 (02) : 141 - 159
  • [5] Numerical solutions of Boussinesq equation using Galerkin finite element method
    Ucar, Yusuf
    Esen, Alaattin
    Karaagac, Berat
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (02) : 1612 - 1630
  • [6] Quadratic B-spline finite element method for numerical solution of the Burgers' equation
    Aksan, EN
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (02) : 884 - 896
  • [7] Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
    Kutluay, S
    Esen, A
    Dag, I
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 167 (01) : 21 - 33
  • [8] Numerical Solutions of RLW Equation by the B-Spline Wavelet Finite Element Method
    Wang, Bin
    Li, Desheng
    Zhai, Chunwen
    [J]. 2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3, 2010, : 666 - 669
  • [9] Numerical Solutions of Fishers' equation by Least Squares B-spline Finite Element Method
    Zhai, Chunwen
    Li, Desheng
    Wang, Bin
    [J]. 2010 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS 1-3, 2010, : 328 - 331
  • [10] Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method
    Aksan, EN
    Özdes, A
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (02) : 1256 - 1265