|
|
 |
| |
|
|
|
Numerical Solutions of the Combined KdV-MKdV Equation by a Quintic B-spline Collocation Method |
|
|
|
PP: 19-24 |
|
|
|
Author(s) |
|
|
|
N. Murat Yagmurlu,
Orkun Tasbozan,
Yusuf Ucar,
Alaattin Esen,
|
|
|
|
Abstract |
|
|
| In this paper, a numerical solution of the combined KdV-MKdV equation is obtained by a quintic B-spline collocation finite element method. In the solution process, a linearization technique has been applied to deal with the non-linear term appearing in the equation. Then the newly computed results are
compared with those available in the literature. The error norms $L_{2}$ and $% L_{\infty }$ are computed and found to be sufficiently small. The Fourier
stability analysis of the method is also investigated and found unconditionally stable. |
|
|
|
|
|
|
|
