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has been cited by the following article:

• TITLE: The Numerical Solution of the MRLW Equation Using the Multigrid Method

  AUTHORS: Yasser Mohamed Abo Essa, Ibrahim Abouefarag, El-Desouky Rahmo

  KEYWORDS: Multigrid Method, Finite Difference Method, MRLW Equation

  JOURNAL NAME: Applied Mathematics, Vol.5 No.21, December 1, 2014

  ABSTRACT: In this paper, we obtained the numerical solutions of the modified regularized long-wave (MRLW) equation, by using the multigrid method and finite difference method. The solitary wave motion, interaction of two and three solitary waves, and development of the Maxwellian initial condition into solitary waves are studied using the proposed method. The numerical solutions are compared with the known analytical solutions. Usingerror norms and conservative properties of mass, momentum and energy, accuracy and efficiency of the mentioned method will be established through comparison with other techniques.