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

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  • Ucar, Y.
  • Karaagac, B.
  • Esen, A.

Abstract

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 L2 and L∞ 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.

Suggested Citation

  • Ucar, Y. & Karaagac, B. & Esen, A., 2015. "A new approach on numerical solutions of the Improved Boussinesq type equation using quadratic B-spline Galerkin finite element method," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 148-155.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:148-155
    DOI: 10.1016/j.amc.2015.08.007
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    References listed on IDEAS

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    1. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
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