• MULTIGRID METHOD FOR SOLVING THE GENERALIZED EQUAL WIDTH WAVE EQUATION

YASSER M. ABO ESSA*

Abstract


Numerical solution of the generalized equal width (GEW) equation is obtained by using the multigrid method based on finite difference method. The motion of a single solitary wave, interaction of two solitary waves and the Maxwellian initial condition pulse are studied using the proposed method. The numerical solutions are compared with the known analytical solutions. Using  error norms and conservative properties of mass, momentum and energy, accuracy and efficiency of the mentioned method will be established through comparison with other methods.


Keywords


Multigrid Method, Finite Difference Method, GEW Equation Mathematics Subject Classification: 34K28, 65D05, 65D25.

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