B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS

Abstract

In this paper, a collocation method is applied for solving the Kawahara andmodified Kawahara equations. For the spatial discretization, we use the sextic B-splinecollocation (SBSC) method on uniform meshes, finite difference scheme is employed forthe time discretization. The stability analysis of the collocation methods are examined bythe Von Neumann approach. Numerical results demonstrate the efficiency and accuracyof the proposed methods