East Asian mathematical journal

  • 제29권5호
  • /
  • Pages.503-510
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  • 2013
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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QUADRATIC B-SPLINE FINITE ELEMENT METHOD FOR THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION

  • Yin, Yong-Xue (Department of Mathematics, College of Science, YanBian University) ;
  • Piao, Guang-Ri (Department of Mathematics, College of Science, YanBian University)
  • 투고 : 2013.10.05
  • 심사 : 2013.11.04
  • 발행 : 2013.11.30
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초록

A quadratic B-spline finite element method for the spatial variable combined with a Newton method for the time variable is proposed to approximate a solution of Benjamin-Bona-Mahony-Burgers (BBMB) equation. Two examples were considered to show the efficiency of the proposed scheme. The numerical solutions obtained for various viscosity were compared with the exact solutions. The numerical results show that the scheme is efficient and feasible.

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참고문헌

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피인용 문헌

  1. Solution BBM-Burger Equation via Quartic Trigonometric B-spline Approach vol.1879, pp.2, 2013, https://doi.org/10.1088/1742-6596/1879/2/022109
  2. Theoretical and computational structures on solitary wave solutions of Benjamin Bona Mahony-Burgers equation vol.14, pp.2, 2013, https://doi.org/10.32513/tmj/19322008120