Name
Abstract | ||
|---|---|---|
In this paper, we propose a new extended homotopy perturbation method (EHPM) to improve the accuracy and the computational efficiency for the homotopy perturbation method. The key point of this method is to construct multiple-parameter homotopy equation. By adjusting the parameters, we obtain an optimal approximate solution. The method is applied to solve the Benny equation and the Ito equation. An error estimate between exact solution and approximate analytical solution of equations is given and the efficiency of the EHPM is discussed. (C) 2011 Elsevier Ltd. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.mcm.2011.10.029 | MATHEMATICAL AND COMPUTER MODELLING |
Keywords | Field | DocType |
Extended homotopy perturbation method,Approximate analytical solutions,Benny equation,Ito equation | Exact solutions in general relativity,Mathematical optimization,Mathematical analysis,Homotopy perturbation method,Nonlinear differential equations,Homotopy,Homotopy analysis method,Approximate solution,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
55 | 3-4 | 0895-7177 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fei Wang | 1 | 2 | 2.40 |
| Wei Li | 2 | 310 | 71.89 |
| Hongqing Zhang | 3 | 138 | 48.35 |