An Efficient High Order Algorithm for Solving Regularized Long Wave Equation

  • Dursun IrkEmail author
  • Melis Zorşahin Görgülü
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1111)


The Galerkin finite element method, based on cubic trigonometric B-spline for the space discretization and fourth order Runge Kutta method for time discretization is proposed for numerical solution of the Regularized Long Wave (RLW) equation. The numerical example related to single solitary wave is considered as the test problem. To see the accuracy for the proposed method, the maximum error norm \( L_{\infty } \) is computed and conservation property of the RLW equation will be validated by calculating the three conservation quantities, corresponding to mass, momentum and energy.


Galerkin finite element method Cubic trigonometric B-spline Regularized long wave equation Solitary waves 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of Eskişehir OsmangaziEskişehirTurkey

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