TITLE:
Multigrid Method for the Numerical Solution of the Modified Equal Width Wave Equation
AUTHORS:
Yasser M. Abo Essa
KEYWORDS:
Multigrid Method, Finite Difference Method, MEW Equation
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.10,
June
24,
2016
ABSTRACT: Numerical solutions of the modified equal
width wave equation are obtained by using the multigrid method and finite
difference method. The motion of a single solitary wave, interaction of two
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. 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.