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

AMIR SABOOR BAGHERZADEH

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Abstract

In this paper, a collocation method is applied for solving the Kawahara and modied Kawahara equations. For the spatial discretization, we use the sextic B-spline collocation (SBSC) method on uniform meshes, nite dierence scheme is employed for the time discretization. The stability analysis of the collocation methods are examined by the Von Neumann approach. Numerical results demonstrate the eciency and accuracy of the proposed methods.

Keywords

Kawahara and modied Kawahara equation, sixth degree B-splines, colloca- tion method, recurrence system of equations, stability analysis, numerical experience.