Different linearization techniques for the numerical solution of the MEW equation

Abstract

The modi ed equal width wave (MEW) equation is solved numeri- cally by giving two di¤erent linearization techniques based on collocation nite element method in which cubic B-splines are used as approximate functions. To support our work three test problems; namely, the motion of a single solitary wave, interaction of two solitary waves and the birth of solitons are studied. Results are compared with other published numerical solutions available in the literature. Accuracy of the proposed method is discussed by computing the nu- merical conserved laws L2 and L1 error norms. A linear stability analysis of the approximation obtained by the scheme shows that the method is unconditionally stable.