Approximate analytic solution for the KdV and burger equations with the homotopy analysis method
The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of the Korteweg-de Vries (KdV) and Burgers equations. The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. HAM cont...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
2012
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/46622/ http://eprints.utm.my/46622/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of the Korteweg-de Vries (KdV) and Burgers equations. The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. HAM contains the auxiliary parameter , which provides us with a straightforward way to adjust and control the convergence region of the series solution. The resulted HAM solution at 8th-order and 14th-order approximation is then compared with that of the exact soliton solutions of KdV and Burgers equations, respectively, and shown to be in excellent agreement. |
|---|