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The Numerical Solution of the MRLW Equation Using the Multigrid Method

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DOI: 10.4236/am.2014.521310    3,599 Downloads   4,130 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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