Abstract:
In this study, modified equal width wave (MEW) equation is solved numerically by the Subdomain finite element method using quartic B-spline functions.
Test problems including the motion of a single solitary wave and interaction of
two solitary waves are studied to validate the suggested method. Accuracy and
efficiency of the proposed method are discussed by computing the numerical
conserved laws and L2 , L∞ error norms. The obtained results show that this
method is a successful numerical technique for solving the modified equal width
wave(MEW) equation. A linear stability analysis of the scheme shows it to be
unconditionally stable
