Title of article :
B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA and MODIFIED KAWAHARA EQUATIONS
Author/Authors :
SABOOR BAGHERZADEH, AMIR Department of Applied Mathematics - School of Mathematical Science - Ferdowsi University of Mashhad - Mashhad, Iran
Abstract :
In this paper, a collocation method is applied for solving the Kawahara and
modified Kawahara equations. For the spatial discretization, we use the sextic B-spline
collocation (SBSC) method on uniform meshes, finite difference 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 efficiency and accuracy
of the proposed methods.
Keywords :
Kawahara and modified Kawahara equation , sixth degree B-splines , collocation method , recurrence system of equations , stability analysis , numerical experience
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
