The Numerical Solution of the MRLW Equation Using the Multigrid Method

DOI: 10.4236/am.2014.521310   PDF   HTML   XML   3,774 Downloads   4,304 Views   Citations


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.

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Essa, Y. , Abouefarag, I. and Rahmo, E. (2014) The Numerical Solution of the MRLW Equation Using the Multigrid Method. Applied Mathematics, 5, 3328-3334. doi: 10.4236/am.2014.521310.

Conflicts of Interest

The authors declare no conflicts of interest.


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