Paper Title:
Solitary Solution of Nonlinear Equation by Homotopy Analysis Method
  Abstract

In this paper, we apply homotopy analysis method to solve nonlinear equation and successfully obtain the bell-shaped solitary solution to the nonlinear equation. Comparison between our solution and the exact solution shows that homotopy analysis method is effective and valid for nonlinear problems.

  Info
Periodical
Edited by
Han Zhao
Pages
3668-3671
DOI
10.4028/www.scientific.net/AMM.130-134.3668
Citation
X. R. Chen, W. S. Cui, "Solitary Solution of Nonlinear Equation by Homotopy Analysis Method", Applied Mechanics and Materials, Vols. 130-134, pp. 3668-3671, 2012
Online since
October 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Xiao Yi Che, Qi Yuan Liu, You Xin Luo, Bin Zeng
Abstract:Kinematic analysis is fundamental for the mechanism synthesis. The kinematic analysis of mechanism is attributed to find the solutions of the...
688
Authors: Han Li
Chapter 6: Mechatronics
Abstract:In this paper, we present and analyze a new iterative method for solving nonlinear equations. It is proved that the method is six-order...
1019
Authors: Li Sun, Liang Fang, Yun Wang
Chapter 16: Computer-Aided Design/Engineering and Other Related Topics
Abstract:We present a fifth-order iterative method for the solution of nonlinear equation. The new method is based on the Noor's third-order method,...
3824
Authors: Hai Yang Li, Ting Ting Wang, Xi Qin He
Chapter 1: Engineering Design of Machines and Equipment for Manufacturing
Abstract:This paper applies the homotopy analysis method to solve Klein-Gordon equation, Firstly, structure a zero-order deformation equation. Then...
62
Authors: Xin Mou Ma, Lie Zhen Chang
Chapter 1: Nanomaterials and Nanotechnology
Abstract:In this study, analytical solutions are obtained by homotopy perturbation method (HPM) for the nonlinear vibration equation of single-wall...
59