Solving the generalized equal width wave equation via sextic B-spline collocation technique

This article applies the sextic B-spline collocation scheme to obtain the approximate solution of the generalized equal width (GEW) wave equation. The accuracy of the proposed technique is discussed over three test applications including the single soliton wave, interaction of soliton waves and Maxwellian initial problem while we are getting the three invariant A₁, A₂, A₃ and two error norms referred as to L₂ and L_∞. Applying the Von Neumann algorithm, the linearized technique is unconditionally stable. Our computational data show the superiority of results over those existing results in the literature review.