A study on the convergence of homotopy analysis method |
| |
Authors: | Zaid M. Odibat |
| |
Affiliation: | Faculty of Science and Technology, University of Le Havre, BP 540, 76058 Le Havre Cedex, France |
| |
Abstract: | In this study, a reliable approach for convergence of the homotopy analysis method when applied to nonlinear problems is discussed. First, we present an alternative framework of the method which can be used simply and effectively to handle nonlinear problems. Then, mainly, we address the sufficient condition for convergence of the method. The convergence analysis is reliable enough to estimate the maximum absolute truncated error of the homotopy series solution. The analysis is illustrated by investigating the convergence results for some nonlinear differential equations. The study highlights the power of the method. |
| |
Keywords: | Homotopy analysis method Series solution Convergence Maximum absolute truncated error |
本文献已被 ScienceDirect 等数据库收录! |
|