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Numerical Simulations of Boundary-Forced RLW Equation with Cubic B-Spline-based Differential Quadrature Methods

  • Research Article - Mechanical Engineering
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Abstract

In the study, differential quadrature methods based on cubic B-splines are proposed. In order to test the accuracy and the efficiency of the present methods, some numerical solutions of the Regularized Long Wave Equation are simulated. Wave generation, traveling solitary wave, interaction of the two solitary waves and undulation solutions of the RLW equation are studied. Obtained simulations are compared with some earlier works. Lowest three conserved quantities are computed for all test problems.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Çankırı Karatekin University, Çankırı, Turkey

    Alper Korkmaz

  2. Mathematics and Computer Science Department, Eskişehir Osmangazi University, 26480, Eskisehir, Turkey

    İdris Dağ

Authors
  1. Alper Korkmaz
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  2. İdris Dağ
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Correspondence to Alper Korkmaz.

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Korkmaz, A., Dağ, İ. Numerical Simulations of Boundary-Forced RLW Equation with Cubic B-Spline-based Differential Quadrature Methods. Arab J Sci Eng 38, 1151–1160 (2013). https://doi.org/10.1007/s13369-012-0353-8

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  • DOI: https://doi.org/10.1007/s13369-012-0353-8

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