.png){kind=icon}
返回
A novel analytic approximation method with a convergence acceleration parameter for solving nonlinear problems
.png){kind=icon}
OA
AI
DOI：10.1016/j.cnsns.2017.08.025.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this paper, a new analytic approximation method with a convergence acceleration parameter c is first proposed. The parameter c is used to adjust and control the convergence region and rate of the resulting series solution. It turns out that the convergence region and rate can be greatly enlarged by choosing a proper value of c. Furthermore, a numerical approach for finding the optimal value of the convergence acceleration parameter is given. At the same time, it is found that the traditional Adomian decomposition method is only a special case of the new method. The effectiveness and applicability of the new technique are demonstrated by several physical models including nonlinear heat transfer problems, nano-electromechanical systems, diffusion and dissipation phenomena, and dispersive waves. (C) 2017 Elsevier B.V. All rights reserved.
Keyword:
Adomian decomposition method
Convergence acceleration parameter
Series solution
Nonlinear differential equation
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.8
论文数:
9.4K
被引数:
1.8W
机构
引用论文
.png){kind=icon}
Error estimate of the series solution to a class of nonlinear fractional differential equations
PREAI
分享收藏分享收藏
查看更多内容