Numerical Solution of the Equation Modified Equal Width Equation by Using Cubic Trigonometric B-Spline Method

  • Authors

    • Hamad Salih
    • Zainor Ridzuan Yahya
    • Luma Tawfiq
    • Shazalina Mat Zin
    https://doi.org/10.14419/ijet.v7i3.7.18874
  • Cubic trigonometric B-spline, Finite difference, Modified equal width equation, Von-Neumann.

  • Abstract

    A numerical solution for the modified equal width was achieved via cubic trigonometric-B-spline (C. T.-B-spline) method approach which is based on finite difference scheme with the help of weighted scheme. In other words, the finite difference scheme is used to discretize the time derivative, while a cubic trigonometric B-spline is used as an interpolation map in the space dimension. The performance of the scheme was validated through two examination problems. The performance of the process was validated via using   and   error norms and conserved laws. Thus, stability analysis was applied by the von-Neumann method. Finally, the efficiency and accuracy of the suggested scheme was determined through comparison with the exact solution for different time and some other published numerical methods.

     

  • References

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  • How to Cite

    Salih, H., Ridzuan Yahya, Z., Tawfiq, L., & Mat Zin, S. (2018). Numerical Solution of the Equation Modified Equal Width Equation by Using Cubic Trigonometric B-Spline Method. International Journal of Engineering & Technology, 7(3.7), 340-344. https://doi.org/10.14419/ijet.v7i3.7.18874

    Received date: 2018-09-03

    Accepted date: 2018-09-03